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Finding the Third Proportional to 166,165 and 360,373

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Solution

The third proportional to 166,165 and 360,373 is: 781,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,165 : 360,373 = 360,373 : x
  2. Step 2: Convert to fraction form
    166,165/360,373 = 360,373/x
  3. Step 3: Cross multiply
    166,165x = 360,373 × 360,373
  4. Step 4: Simplify right side
    166,165x = 129,868,699,129
  5. Step 5: Solve for x
    x = 129,868,699,129/166,165
  6. Step 6: Final answer
    x = 781,564.70

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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.