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Finding the Third Proportional to 79,189.50 and 170,757

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Solution

The third proportional to 79,189.50 and 170,757 is: 368,204.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,189.50 : 170,757 = 170,757 : x
  2. Step 2: Convert to fraction form
    79,189.50/170,757 = 170,757/x
  3. Step 3: Cross multiply
    79,189.50x = 170,757 × 170,757
  4. Step 4: Simplify right side
    79,189.50x = 29,157,953,049
  5. Step 5: Solve for x
    x = 29,157,953,049/79,189.50
  6. Step 6: Final answer
    x = 368,204.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.