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Finding the Third Proportional to 134,244 and 206,496

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Solution

The third proportional to 134,244 and 206,496 is: 317,635.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,244 : 206,496 = 206,496 : x
  2. Step 2: Convert to fraction form
    134,244/206,496 = 206,496/x
  3. Step 3: Cross multiply
    134,244x = 206,496 × 206,496
  4. Step 4: Simplify right side
    134,244x = 42,640,598,016
  5. Step 5: Solve for x
    x = 42,640,598,016/134,244
  6. Step 6: Final answer
    x = 317,635.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.