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Finding the Third Proportional to 126,380 and 292,568

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Solution

The third proportional to 126,380 and 292,568 is: 677,290.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,380 : 292,568 = 292,568 : x
  2. Step 2: Convert to fraction form
    126,380/292,568 = 292,568/x
  3. Step 3: Cross multiply
    126,380x = 292,568 × 292,568
  4. Step 4: Simplify right side
    126,380x = 85,596,034,624
  5. Step 5: Solve for x
    x = 85,596,034,624/126,380
  6. Step 6: Final answer
    x = 677,290.98

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.