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Finding the Third Proportional to 80,434 and 173,334

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Solution

The third proportional to 80,434 and 173,334 is: 373,532.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,434 : 173,334 = 173,334 : x
  2. Step 2: Convert to fraction form
    80,434/173,334 = 173,334/x
  3. Step 3: Cross multiply
    80,434x = 173,334 × 173,334
  4. Step 4: Simplify right side
    80,434x = 30,044,675,556
  5. Step 5: Solve for x
    x = 30,044,675,556/80,434
  6. Step 6: Final answer
    x = 373,532.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.