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Finding the Third Proportional to 151,691 and 329,856

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Solution

The third proportional to 151,691 and 329,856 is: 717,280.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,691 : 329,856 = 329,856 : x
  2. Step 2: Convert to fraction form
    151,691/329,856 = 329,856/x
  3. Step 3: Cross multiply
    151,691x = 329,856 × 329,856
  4. Step 4: Simplify right side
    151,691x = 108,804,980,736
  5. Step 5: Solve for x
    x = 108,804,980,736/151,691
  6. Step 6: Final answer
    x = 717,280.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.