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Finding the Third Proportional to 156,712 and 329,552

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Solution

The third proportional to 156,712 and 329,552 is: 693,019.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,712 : 329,552 = 329,552 : x
  2. Step 2: Convert to fraction form
    156,712/329,552 = 329,552/x
  3. Step 3: Cross multiply
    156,712x = 329,552 × 329,552
  4. Step 4: Simplify right side
    156,712x = 108,604,520,704
  5. Step 5: Solve for x
    x = 108,604,520,704/156,712
  6. Step 6: Final answer
    x = 693,019.81

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.