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Finding the Third Proportional to 79,508 and 173,580

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Solution

The third proportional to 79,508 and 173,580 is: 378,955.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,508 : 173,580 = 173,580 : x
  2. Step 2: Convert to fraction form
    79,508/173,580 = 173,580/x
  3. Step 3: Cross multiply
    79,508x = 173,580 × 173,580
  4. Step 4: Simplify right side
    79,508x = 30,130,016,400
  5. Step 5: Solve for x
    x = 30,130,016,400/79,508
  6. Step 6: Final answer
    x = 378,955.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.