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Finding the Third Proportional to 126,338 and 272,260

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Solution

The third proportional to 126,338 and 272,260 is: 586,723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,338 : 272,260 = 272,260 : x
  2. Step 2: Convert to fraction form
    126,338/272,260 = 272,260/x
  3. Step 3: Cross multiply
    126,338x = 272,260 × 272,260
  4. Step 4: Simplify right side
    126,338x = 74,125,507,600
  5. Step 5: Solve for x
    x = 74,125,507,600/126,338
  6. Step 6: Final answer
    x = 586,723.77

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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.