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Finding the Third Proportional to 76,167 and 166,437

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Solution

The third proportional to 76,167 and 166,437 is: 363,691.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,167 : 166,437 = 166,437 : x
  2. Step 2: Convert to fraction form
    76,167/166,437 = 166,437/x
  3. Step 3: Cross multiply
    76,167x = 166,437 × 166,437
  4. Step 4: Simplify right side
    76,167x = 27,701,274,969
  5. Step 5: Solve for x
    x = 27,701,274,969/76,167
  6. Step 6: Final answer
    x = 363,691.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.