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Finding the Third Proportional to 166,164 and 360,374

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Solution

The third proportional to 166,164 and 360,374 is: 781,573.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,164 : 360,374 = 360,374 : x
  2. Step 2: Convert to fraction form
    166,164/360,374 = 360,374/x
  3. Step 3: Cross multiply
    166,164x = 360,374 × 360,374
  4. Step 4: Simplify right side
    166,164x = 129,869,419,876
  5. Step 5: Solve for x
    x = 129,869,419,876/166,164
  6. Step 6: Final answer
    x = 781,573.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.