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Finding the Third Proportional to 71,660 and 167,337

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Solution

The third proportional to 71,660 and 167,337 is: 390,757.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,660 : 167,337 = 167,337 : x
  2. Step 2: Convert to fraction form
    71,660/167,337 = 167,337/x
  3. Step 3: Cross multiply
    71,660x = 167,337 × 167,337
  4. Step 4: Simplify right side
    71,660x = 28,001,671,569
  5. Step 5: Solve for x
    x = 28,001,671,569/71,660
  6. Step 6: Final answer
    x = 390,757.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.