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Finding the Third Proportional to 126,609 and 200,484

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Solution

The third proportional to 126,609 and 200,484 is: 317,464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,609 : 200,484 = 200,484 : x
  2. Step 2: Convert to fraction form
    126,609/200,484 = 200,484/x
  3. Step 3: Cross multiply
    126,609x = 200,484 × 200,484
  4. Step 4: Simplify right side
    126,609x = 40,193,834,256
  5. Step 5: Solve for x
    x = 40,193,834,256/126,609
  6. Step 6: Final answer
    x = 317,464.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.