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Finding the Third Proportional to 127,480 and 280,124

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Solution

The third proportional to 127,480 and 280,124 is: 615,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,480 : 280,124 = 280,124 : x
  2. Step 2: Convert to fraction form
    127,480/280,124 = 280,124/x
  3. Step 3: Cross multiply
    127,480x = 280,124 × 280,124
  4. Step 4: Simplify right side
    127,480x = 78,469,455,376
  5. Step 5: Solve for x
    x = 78,469,455,376/127,480
  6. Step 6: Final answer
    x = 615,543.26

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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.