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Finding the Third Proportional to 127,605.38 and 274,711.50

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Solution

The third proportional to 127,605.38 and 274,711.50 is: 591,404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,605.38 : 274,711.50 = 274,711.50 : x
  2. Step 2: Convert to fraction form
    127,605.38/274,711.50 = 274,711.50/x
  3. Step 3: Cross multiply
    127,605.38x = 274,711.50 × 274,711.50
  4. Step 4: Simplify right side
    127,605.38x = 75,466,408,232.25
  5. Step 5: Solve for x
    x = 75,466,408,232.25/127,605.38
  6. Step 6: Final answer
    x = 591,404.62

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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.