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Finding the Third Proportional to 152,732.25 and 329,118.75

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Solution

The third proportional to 152,732.25 and 329,118.75 is: 709,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,732.25 : 329,118.75 = 329,118.75 : x
  2. Step 2: Convert to fraction form
    152,732.25/329,118.75 = 329,118.75/x
  3. Step 3: Cross multiply
    152,732.25x = 329,118.75 × 329,118.75
  4. Step 4: Simplify right side
    152,732.25x = 108,319,151,601.56
  5. Step 5: Solve for x
    x = 108,319,151,601.56/152,732.25
  6. Step 6: Final answer
    x = 709,209.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.