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Finding the Third Proportional to 119,017 and 247,897

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Solution

The third proportional to 119,017 and 247,897 is: 516,337.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,017 : 247,897 = 247,897 : x
  2. Step 2: Convert to fraction form
    119,017/247,897 = 247,897/x
  3. Step 3: Cross multiply
    119,017x = 247,897 × 247,897
  4. Step 4: Simplify right side
    119,017x = 61,452,922,609
  5. Step 5: Solve for x
    x = 61,452,922,609/119,017
  6. Step 6: Final answer
    x = 516,337.35

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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.