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Finding the Third Proportional to 232,502 and 329,080

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Solution

The third proportional to 232,502 and 329,080 is: 465,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,502 : 329,080 = 329,080 : x
  2. Step 2: Convert to fraction form
    232,502/329,080 = 329,080/x
  3. Step 3: Cross multiply
    232,502x = 329,080 × 329,080
  4. Step 4: Simplify right side
    232,502x = 108,293,646,400
  5. Step 5: Solve for x
    x = 108,293,646,400/232,502
  6. Step 6: Final answer
    x = 465,775.12

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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.