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Finding the Third Proportional to 137,837 and 296,793

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Solution

The third proportional to 137,837 and 296,793 is: 639,059.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,837 : 296,793 = 296,793 : x
  2. Step 2: Convert to fraction form
    137,837/296,793 = 296,793/x
  3. Step 3: Cross multiply
    137,837x = 296,793 × 296,793
  4. Step 4: Simplify right side
    137,837x = 88,086,084,849
  5. Step 5: Solve for x
    x = 88,086,084,849/137,837
  6. Step 6: Final answer
    x = 639,059.79

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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.