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Finding the Third Proportional to 150,131.25 and 233,807.63

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Solution

The third proportional to 150,131.25 and 233,807.63 is: 364,121.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,131.25 : 233,807.63 = 233,807.63 : x
  2. Step 2: Convert to fraction form
    150,131.25/233,807.63 = 233,807.63/x
  3. Step 3: Cross multiply
    150,131.25x = 233,807.63 × 233,807.63
  4. Step 4: Simplify right side
    150,131.25x = 54,666,005,508.14
  5. Step 5: Solve for x
    x = 54,666,005,508.14/150,131.25
  6. Step 6: Final answer
    x = 364,121.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.