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Finding the Third Proportional to 152,972 and 329,384

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Solution

The third proportional to 152,972 and 329,384 is: 709,239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,972 : 329,384 = 329,384 : x
  2. Step 2: Convert to fraction form
    152,972/329,384 = 329,384/x
  3. Step 3: Cross multiply
    152,972x = 329,384 × 329,384
  4. Step 4: Simplify right side
    152,972x = 108,493,819,456
  5. Step 5: Solve for x
    x = 108,493,819,456/152,972
  6. Step 6: Final answer
    x = 709,239.73

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