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Finding the Third Proportional to 119,020 and 247,882

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Solution

The third proportional to 119,020 and 247,882 is: 516,261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,020 : 247,882 = 247,882 : x
  2. Step 2: Convert to fraction form
    119,020/247,882 = 247,882/x
  3. Step 3: Cross multiply
    119,020x = 247,882 × 247,882
  4. Step 4: Simplify right side
    119,020x = 61,445,485,924
  5. Step 5: Solve for x
    x = 61,445,485,924/119,020
  6. Step 6: Final answer
    x = 516,261.85

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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.