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Finding the Third Proportional to 152,966.25 and 331,355.25

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Solution

The third proportional to 152,966.25 and 331,355.25 is: 717,781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,966.25 : 331,355.25 = 331,355.25 : x
  2. Step 2: Convert to fraction form
    152,966.25/331,355.25 = 331,355.25/x
  3. Step 3: Cross multiply
    152,966.25x = 331,355.25 × 331,355.25
  4. Step 4: Simplify right side
    152,966.25x = 109,796,301,702.56
  5. Step 5: Solve for x
    x = 109,796,301,702.56/152,966.25
  6. Step 6: Final answer
    x = 717,781.22

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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.