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Finding the Third Proportional to 126,838 and 273,298

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Solution

The third proportional to 126,838 and 273,298 is: 588,875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,838 : 273,298 = 273,298 : x
  2. Step 2: Convert to fraction form
    126,838/273,298 = 273,298/x
  3. Step 3: Cross multiply
    126,838x = 273,298 × 273,298
  4. Step 4: Simplify right side
    126,838x = 74,691,796,804
  5. Step 5: Solve for x
    x = 74,691,796,804/126,838
  6. Step 6: Final answer
    x = 588,875.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.