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Finding the Third Proportional to 166,872 and 345,566

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Solution

The third proportional to 166,872 and 345,566 is: 715,613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,872 : 345,566 = 345,566 : x
  2. Step 2: Convert to fraction form
    166,872/345,566 = 345,566/x
  3. Step 3: Cross multiply
    166,872x = 345,566 × 345,566
  4. Step 4: Simplify right side
    166,872x = 119,415,860,356
  5. Step 5: Solve for x
    x = 119,415,860,356/166,872
  6. Step 6: Final answer
    x = 715,613.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.