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Finding the Third Proportional to 107,217 and 230,877

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Solution

The third proportional to 107,217 and 230,877 is: 497,161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,217 : 230,877 = 230,877 : x
  2. Step 2: Convert to fraction form
    107,217/230,877 = 230,877/x
  3. Step 3: Cross multiply
    107,217x = 230,877 × 230,877
  4. Step 4: Simplify right side
    107,217x = 53,304,189,129
  5. Step 5: Solve for x
    x = 53,304,189,129/107,217
  6. Step 6: Final answer
    x = 497,161.73

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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.