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Finding the Third Proportional to 166,671 and 254,107

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Solution

The third proportional to 166,671 and 254,107 is: 387,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,671 : 254,107 = 254,107 : x
  2. Step 2: Convert to fraction form
    166,671/254,107 = 254,107/x
  3. Step 3: Cross multiply
    166,671x = 254,107 × 254,107
  4. Step 4: Simplify right side
    166,671x = 64,570,367,449
  5. Step 5: Solve for x
    x = 64,570,367,449/166,671
  6. Step 6: Final answer
    x = 387,412.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.