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Finding the Third Proportional to 76,494 and 166,597

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Solution

The third proportional to 76,494 and 166,597 is: 362,833.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,494 : 166,597 = 166,597 : x
  2. Step 2: Convert to fraction form
    76,494/166,597 = 166,597/x
  3. Step 3: Cross multiply
    76,494x = 166,597 × 166,597
  4. Step 4: Simplify right side
    76,494x = 27,754,560,409
  5. Step 5: Solve for x
    x = 27,754,560,409/76,494
  6. Step 6: Final answer
    x = 362,833.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.