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Finding the Third Proportional to 127,944 and 279,180

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Solution

The third proportional to 127,944 and 279,180 is: 609,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,944 : 279,180 = 279,180 : x
  2. Step 2: Convert to fraction form
    127,944/279,180 = 279,180/x
  3. Step 3: Cross multiply
    127,944x = 279,180 × 279,180
  4. Step 4: Simplify right side
    127,944x = 77,941,472,400
  5. Step 5: Solve for x
    x = 77,941,472,400/127,944
  6. Step 6: Final answer
    x = 609,184.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.