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Finding the Third Proportional to 138,914 and 298,539

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Solution

The third proportional to 138,914 and 298,539 is: 641,587.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,914 : 298,539 = 298,539 : x
  2. Step 2: Convert to fraction form
    138,914/298,539 = 298,539/x
  3. Step 3: Cross multiply
    138,914x = 298,539 × 298,539
  4. Step 4: Simplify right side
    138,914x = 89,125,534,521
  5. Step 5: Solve for x
    x = 89,125,534,521/138,914
  6. Step 6: Final answer
    x = 641,587.85

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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.