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Finding the Third Proportional to 151,584 and 329,712

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Solution

The third proportional to 151,584 and 329,712 is: 717,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,584 : 329,712 = 329,712 : x
  2. Step 2: Convert to fraction form
    151,584/329,712 = 329,712/x
  3. Step 3: Cross multiply
    151,584x = 329,712 × 329,712
  4. Step 4: Simplify right side
    151,584x = 108,710,002,944
  5. Step 5: Solve for x
    x = 108,710,002,944/151,584
  6. Step 6: Final answer
    x = 717,160.14

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