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Finding the Third Proportional to 119,032 and 247,927

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Solution

The third proportional to 119,032 and 247,927 is: 516,397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,032 : 247,927 = 247,927 : x
  2. Step 2: Convert to fraction form
    119,032/247,927 = 247,927/x
  3. Step 3: Cross multiply
    119,032x = 247,927 × 247,927
  4. Step 4: Simplify right side
    119,032x = 61,467,797,329
  5. Step 5: Solve for x
    x = 61,467,797,329/119,032
  6. Step 6: Final answer
    x = 516,397.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.