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Finding the Third Proportional to 126,948 and 296,686

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Solution

The third proportional to 126,948 and 296,686 is: 693,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,948 : 296,686 = 296,686 : x
  2. Step 2: Convert to fraction form
    126,948/296,686 = 296,686/x
  3. Step 3: Cross multiply
    126,948x = 296,686 × 296,686
  4. Step 4: Simplify right side
    126,948x = 88,022,582,596
  5. Step 5: Solve for x
    x = 88,022,582,596/126,948
  6. Step 6: Final answer
    x = 693,375.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.