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Finding the Third Proportional to 126,274 and 272,228

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Solution

The third proportional to 126,274 and 272,228 is: 586,883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,274 : 272,228 = 272,228 : x
  2. Step 2: Convert to fraction form
    126,274/272,228 = 272,228/x
  3. Step 3: Cross multiply
    126,274x = 272,228 × 272,228
  4. Step 4: Simplify right side
    126,274x = 74,108,083,984
  5. Step 5: Solve for x
    x = 74,108,083,984/126,274
  6. Step 6: Final answer
    x = 586,883.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.