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Finding the Third Proportional to 173,882 and 381,012

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Solution

The third proportional to 173,882 and 381,012 is: 834,877.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,882 : 381,012 = 381,012 : x
  2. Step 2: Convert to fraction form
    173,882/381,012 = 381,012/x
  3. Step 3: Cross multiply
    173,882x = 381,012 × 381,012
  4. Step 4: Simplify right side
    173,882x = 145,170,144,144
  5. Step 5: Solve for x
    x = 145,170,144,144/173,882
  6. Step 6: Final answer
    x = 834,877.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.