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Finding the Third Proportional to 79,398.75 and 174,348.75

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Solution

The third proportional to 79,398.75 and 174,348.75 is: 382,845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,398.75 : 174,348.75 = 174,348.75 : x
  2. Step 2: Convert to fraction form
    79,398.75/174,348.75 = 174,348.75/x
  3. Step 3: Cross multiply
    79,398.75x = 174,348.75 × 174,348.75
  4. Step 4: Simplify right side
    79,398.75x = 30,397,486,626.56
  5. Step 5: Solve for x
    x = 30,397,486,626.56/79,398.75
  6. Step 6: Final answer
    x = 382,845.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.