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Finding the Third Proportional to 173,882 and 419,757

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Solution

The third proportional to 173,882 and 419,757 is: 1,013,307.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,882 : 419,757 = 419,757 : x
  2. Step 2: Convert to fraction form
    173,882/419,757 = 419,757/x
  3. Step 3: Cross multiply
    173,882x = 419,757 × 419,757
  4. Step 4: Simplify right side
    173,882x = 176,195,939,049
  5. Step 5: Solve for x
    x = 176,195,939,049/173,882
  6. Step 6: Final answer
    x = 1,013,307.52

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.