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Finding the Third Proportional to 108,318 and 167,394

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Solution

The third proportional to 108,318 and 167,394 is: 258,689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,318 : 167,394 = 167,394 : x
  2. Step 2: Convert to fraction form
    108,318/167,394 = 167,394/x
  3. Step 3: Cross multiply
    108,318x = 167,394 × 167,394
  4. Step 4: Simplify right side
    108,318x = 28,020,751,236
  5. Step 5: Solve for x
    x = 28,020,751,236/108,318
  6. Step 6: Final answer
    x = 258,689.70

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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.