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Finding the Third Proportional to 166,916 and 345,496

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Solution

The third proportional to 166,916 and 345,496 is: 715,135.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,916 : 345,496 = 345,496 : x
  2. Step 2: Convert to fraction form
    166,916/345,496 = 345,496/x
  3. Step 3: Cross multiply
    166,916x = 345,496 × 345,496
  4. Step 4: Simplify right side
    166,916x = 119,367,486,016
  5. Step 5: Solve for x
    x = 119,367,486,016/166,916
  6. Step 6: Final answer
    x = 715,135.07

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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.