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Finding the Third Proportional to 126,256.50 and 272,543.50

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Solution

The third proportional to 126,256.50 and 272,543.50 is: 588,325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,256.50 : 272,543.50 = 272,543.50 : x
  2. Step 2: Convert to fraction form
    126,256.50/272,543.50 = 272,543.50/x
  3. Step 3: Cross multiply
    126,256.50x = 272,543.50 × 272,543.50
  4. Step 4: Simplify right side
    126,256.50x = 74,279,959,392.25
  5. Step 5: Solve for x
    x = 74,279,959,392.25/126,256.50
  6. Step 6: Final answer
    x = 588,325.82

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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.