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Finding the Third Proportional to 133,060 and 206,598

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Solution

The third proportional to 133,060 and 206,598 is: 320,778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,060 : 206,598 = 206,598 : x
  2. Step 2: Convert to fraction form
    133,060/206,598 = 206,598/x
  3. Step 3: Cross multiply
    133,060x = 206,598 × 206,598
  4. Step 4: Simplify right side
    133,060x = 42,682,733,604
  5. Step 5: Solve for x
    x = 42,682,733,604/133,060
  6. Step 6: Final answer
    x = 320,778.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.