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Finding the Third Proportional to 126,690 and 200,598

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Solution

The third proportional to 126,690 and 200,598 is: 317,622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,690 : 200,598 = 200,598 : x
  2. Step 2: Convert to fraction form
    126,690/200,598 = 200,598/x
  3. Step 3: Cross multiply
    126,690x = 200,598 × 200,598
  4. Step 4: Simplify right side
    126,690x = 40,239,557,604
  5. Step 5: Solve for x
    x = 40,239,557,604/126,690
  6. Step 6: Final answer
    x = 317,622.21

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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.