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Finding the Third Proportional to 80,374 and 174,588

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Solution

The third proportional to 80,374 and 174,588 is: 379,239.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,374 : 174,588 = 174,588 : x
  2. Step 2: Convert to fraction form
    80,374/174,588 = 174,588/x
  3. Step 3: Cross multiply
    80,374x = 174,588 × 174,588
  4. Step 4: Simplify right side
    80,374x = 30,480,969,744
  5. Step 5: Solve for x
    x = 30,480,969,744/80,374
  6. Step 6: Final answer
    x = 379,239.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.