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Finding the Third Proportional to 135,864 and 206,604

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Solution

The third proportional to 135,864 and 206,604 is: 314,176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,864 : 206,604 = 206,604 : x
  2. Step 2: Convert to fraction form
    135,864/206,604 = 206,604/x
  3. Step 3: Cross multiply
    135,864x = 206,604 × 206,604
  4. Step 4: Simplify right side
    135,864x = 42,685,212,816
  5. Step 5: Solve for x
    x = 42,685,212,816/135,864
  6. Step 6: Final answer
    x = 314,176.03

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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.