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Finding the Third Proportional to 152,695.13 and 332,494.88

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Solution

The third proportional to 152,695.13 and 332,494.88 is: 724,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,695.13 : 332,494.88 = 332,494.88 : x
  2. Step 2: Convert to fraction form
    152,695.13/332,494.88 = 332,494.88/x
  3. Step 3: Cross multiply
    152,695.13x = 332,494.88 × 332,494.88
  4. Step 4: Simplify right side
    152,695.13x = 110,552,841,901.27
  5. Step 5: Solve for x
    x = 110,552,841,901.27/152,695.13
  6. Step 6: Final answer
    x = 724,010.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.