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Finding the Third Proportional to 135,600 and 206,304

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Solution

The third proportional to 135,600 and 206,304 is: 313,874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,600 : 206,304 = 206,304 : x
  2. Step 2: Convert to fraction form
    135,600/206,304 = 206,304/x
  3. Step 3: Cross multiply
    135,600x = 206,304 × 206,304
  4. Step 4: Simplify right side
    135,600x = 42,561,340,416
  5. Step 5: Solve for x
    x = 42,561,340,416/135,600
  6. Step 6: Final answer
    x = 313,874.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.