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Finding the Third Proportional to 127,314 and 280,050

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Solution

The third proportional to 127,314 and 280,050 is: 616,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,314 : 280,050 = 280,050 : x
  2. Step 2: Convert to fraction form
    127,314/280,050 = 280,050/x
  3. Step 3: Cross multiply
    127,314x = 280,050 × 280,050
  4. Step 4: Simplify right side
    127,314x = 78,428,002,500
  5. Step 5: Solve for x
    x = 78,428,002,500/127,314
  6. Step 6: Final answer
    x = 616,020.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.