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Finding the Third Proportional to 108,330 and 167,412

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Solution

The third proportional to 108,330 and 167,412 is: 258,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,330 : 167,412 = 167,412 : x
  2. Step 2: Convert to fraction form
    108,330/167,412 = 167,412/x
  3. Step 3: Cross multiply
    108,330x = 167,412 × 167,412
  4. Step 4: Simplify right side
    108,330x = 28,026,777,744
  5. Step 5: Solve for x
    x = 28,026,777,744/108,330
  6. Step 6: Final answer
    x = 258,716.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.