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Finding the Third Proportional to 139,479 and 286,374

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Solution

The third proportional to 139,479 and 286,374 is: 587,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,479 : 286,374 = 286,374 : x
  2. Step 2: Convert to fraction form
    139,479/286,374 = 286,374/x
  3. Step 3: Cross multiply
    139,479x = 286,374 × 286,374
  4. Step 4: Simplify right side
    139,479x = 82,010,067,876
  5. Step 5: Solve for x
    x = 82,010,067,876/139,479
  6. Step 6: Final answer
    x = 587,974.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.