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Finding the Third Proportional to 152,726.34 and 329,121.56

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Solution

The third proportional to 152,726.34 and 329,121.56 is: 709,248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,726.34 : 329,121.56 = 329,121.56 : x
  2. Step 2: Convert to fraction form
    152,726.34/329,121.56 = 329,121.56/x
  3. Step 3: Cross multiply
    152,726.34x = 329,121.56 × 329,121.56
  4. Step 4: Simplify right side
    152,726.34x = 108,321,002,902.44
  5. Step 5: Solve for x
    x = 108,321,002,902.44/152,726.34
  6. Step 6: Final answer
    x = 709,248.98

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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.