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Finding the Third Proportional to 76,474 and 167,708

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Solution

The third proportional to 76,474 and 167,708 is: 367,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,474 : 167,708 = 167,708 : x
  2. Step 2: Convert to fraction form
    76,474/167,708 = 167,708/x
  3. Step 3: Cross multiply
    76,474x = 167,708 × 167,708
  4. Step 4: Simplify right side
    76,474x = 28,125,973,264
  5. Step 5: Solve for x
    x = 28,125,973,264/76,474
  6. Step 6: Final answer
    x = 367,784.78

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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.