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Finding the Third Proportional to 107,397 and 232,494

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Solution

The third proportional to 107,397 and 232,494 is: 503,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,397 : 232,494 = 232,494 : x
  2. Step 2: Convert to fraction form
    107,397/232,494 = 232,494/x
  3. Step 3: Cross multiply
    107,397x = 232,494 × 232,494
  4. Step 4: Simplify right side
    107,397x = 54,053,460,036
  5. Step 5: Solve for x
    x = 54,053,460,036/107,397
  6. Step 6: Final answer
    x = 503,305.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.