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Finding the Third Proportional to 127,492 and 280,150

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Solution

The third proportional to 127,492 and 280,150 is: 615,599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,492 : 280,150 = 280,150 : x
  2. Step 2: Convert to fraction form
    127,492/280,150 = 280,150/x
  3. Step 3: Cross multiply
    127,492x = 280,150 × 280,150
  4. Step 4: Simplify right side
    127,492x = 78,484,022,500
  5. Step 5: Solve for x
    x = 78,484,022,500/127,492
  6. Step 6: Final answer
    x = 615,599.59

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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.