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Finding the Third Proportional to 166,280 and 363,615

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Solution

The third proportional to 166,280 and 363,615 is: 795,139.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,280 : 363,615 = 363,615 : x
  2. Step 2: Convert to fraction form
    166,280/363,615 = 363,615/x
  3. Step 3: Cross multiply
    166,280x = 363,615 × 363,615
  4. Step 4: Simplify right side
    166,280x = 132,215,868,225
  5. Step 5: Solve for x
    x = 132,215,868,225/166,280
  6. Step 6: Final answer
    x = 795,139.93

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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.