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Finding the Third Proportional to 173,806 and 276,571

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Solution

The third proportional to 173,806 and 276,571 is: 440,097.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,806 : 276,571 = 276,571 : x
  2. Step 2: Convert to fraction form
    173,806/276,571 = 276,571/x
  3. Step 3: Cross multiply
    173,806x = 276,571 × 276,571
  4. Step 4: Simplify right side
    173,806x = 76,491,518,041
  5. Step 5: Solve for x
    x = 76,491,518,041/173,806
  6. Step 6: Final answer
    x = 440,097.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.