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Finding the Third Proportional to 78,304 and 167,687

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Solution

The third proportional to 78,304 and 167,687 is: 359,099.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,304 : 167,687 = 167,687 : x
  2. Step 2: Convert to fraction form
    78,304/167,687 = 167,687/x
  3. Step 3: Cross multiply
    78,304x = 167,687 × 167,687
  4. Step 4: Simplify right side
    78,304x = 28,118,929,969
  5. Step 5: Solve for x
    x = 28,118,929,969/78,304
  6. Step 6: Final answer
    x = 359,099.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.