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Finding the Third Proportional to 152,907.75 and 236,179.13

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Solution

The third proportional to 152,907.75 and 236,179.13 is: 364,798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,907.75 : 236,179.13 = 236,179.13 : x
  2. Step 2: Convert to fraction form
    152,907.75/236,179.13 = 236,179.13/x
  3. Step 3: Cross multiply
    152,907.75x = 236,179.13 × 236,179.13
  4. Step 4: Simplify right side
    152,907.75x = 55,780,579,085.77
  5. Step 5: Solve for x
    x = 55,780,579,085.77/152,907.75
  6. Step 6: Final answer
    x = 364,798.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.