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Finding the Third Proportional to 173,681 and 259,791

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Solution

The third proportional to 173,681 and 259,791 is: 388,593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,681 : 259,791 = 259,791 : x
  2. Step 2: Convert to fraction form
    173,681/259,791 = 259,791/x
  3. Step 3: Cross multiply
    173,681x = 259,791 × 259,791
  4. Step 4: Simplify right side
    173,681x = 67,491,363,681
  5. Step 5: Solve for x
    x = 67,491,363,681/173,681
  6. Step 6: Final answer
    x = 388,593.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.