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Finding the Third Proportional to 232,541.25 and 329,136.75

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Solution

The third proportional to 232,541.25 and 329,136.75 is: 465,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,541.25 : 329,136.75 = 329,136.75 : x
  2. Step 2: Convert to fraction form
    232,541.25/329,136.75 = 329,136.75/x
  3. Step 3: Cross multiply
    232,541.25x = 329,136.75 × 329,136.75
  4. Step 4: Simplify right side
    232,541.25x = 108,331,000,200.56
  5. Step 5: Solve for x
    x = 108,331,000,200.56/232,541.25
  6. Step 6: Final answer
    x = 465,857.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.