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Finding the Third Proportional to 84,730 and 167,334

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Solution

The third proportional to 84,730 and 167,334 is: 330,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,730 : 167,334 = 167,334 : x
  2. Step 2: Convert to fraction form
    84,730/167,334 = 167,334/x
  3. Step 3: Cross multiply
    84,730x = 167,334 × 167,334
  4. Step 4: Simplify right side
    84,730x = 28,000,667,556
  5. Step 5: Solve for x
    x = 28,000,667,556/84,730
  6. Step 6: Final answer
    x = 330,469.34

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.