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Finding the Third Proportional to 166,288 and 363,680

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Solution

The third proportional to 166,288 and 363,680 is: 795,385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,288 : 363,680 = 363,680 : x
  2. Step 2: Convert to fraction form
    166,288/363,680 = 363,680/x
  3. Step 3: Cross multiply
    166,288x = 363,680 × 363,680
  4. Step 4: Simplify right side
    166,288x = 132,263,142,400
  5. Step 5: Solve for x
    x = 132,263,142,400/166,288
  6. Step 6: Final answer
    x = 795,385.97

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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.