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Finding the Third Proportional to 150,217.88 and 233,943.19

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Solution

The third proportional to 150,217.88 and 233,943.19 is: 364,333.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,217.88 : 233,943.19 = 233,943.19 : x
  2. Step 2: Convert to fraction form
    150,217.88/233,943.19 = 233,943.19/x
  3. Step 3: Cross multiply
    150,217.88x = 233,943.19 × 233,943.19
  4. Step 4: Simplify right side
    150,217.88x = 54,729,414,977.66
  5. Step 5: Solve for x
    x = 54,729,414,977.66/150,217.88
  6. Step 6: Final answer
    x = 364,333.57

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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.