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Finding the Third Proportional to 107,294 and 230,949

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Solution

The third proportional to 107,294 and 230,949 is: 497,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,294 : 230,949 = 230,949 : x
  2. Step 2: Convert to fraction form
    107,294/230,949 = 230,949/x
  3. Step 3: Cross multiply
    107,294x = 230,949 × 230,949
  4. Step 4: Simplify right side
    107,294x = 53,337,440,601
  5. Step 5: Solve for x
    x = 53,337,440,601/107,294
  6. Step 6: Final answer
    x = 497,114.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.