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Finding the Third Proportional to 166,394 and 251,715

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Solution

The third proportional to 166,394 and 251,715 is: 380,785.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,394 : 251,715 = 251,715 : x
  2. Step 2: Convert to fraction form
    166,394/251,715 = 251,715/x
  3. Step 3: Cross multiply
    166,394x = 251,715 × 251,715
  4. Step 4: Simplify right side
    166,394x = 63,360,441,225
  5. Step 5: Solve for x
    x = 63,360,441,225/166,394
  6. Step 6: Final answer
    x = 380,785.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.