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Finding the Third Proportional to 80,538 and 174,918

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Solution

The third proportional to 80,538 and 174,918 is: 379,899.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,538 : 174,918 = 174,918 : x
  2. Step 2: Convert to fraction form
    80,538/174,918 = 174,918/x
  3. Step 3: Cross multiply
    80,538x = 174,918 × 174,918
  4. Step 4: Simplify right side
    80,538x = 30,596,306,724
  5. Step 5: Solve for x
    x = 30,596,306,724/80,538
  6. Step 6: Final answer
    x = 379,899.01

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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.