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Finding the Third Proportional to 76,150 and 167,486

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Solution

The third proportional to 76,150 and 167,486 is: 368,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,150 : 167,486 = 167,486 : x
  2. Step 2: Convert to fraction form
    76,150/167,486 = 167,486/x
  3. Step 3: Cross multiply
    76,150x = 167,486 × 167,486
  4. Step 4: Simplify right side
    76,150x = 28,051,560,196
  5. Step 5: Solve for x
    x = 28,051,560,196/76,150
  6. Step 6: Final answer
    x = 368,372.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.