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Finding the Third Proportional to 78,341 and 167,749

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Solution

The third proportional to 78,341 and 167,749 is: 359,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,341 : 167,749 = 167,749 : x
  2. Step 2: Convert to fraction form
    78,341/167,749 = 167,749/x
  3. Step 3: Cross multiply
    78,341x = 167,749 × 167,749
  4. Step 4: Simplify right side
    78,341x = 28,139,727,001
  5. Step 5: Solve for x
    x = 28,139,727,001/78,341
  6. Step 6: Final answer
    x = 359,195.40

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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.