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Finding the Third Proportional to 173,676 and 259,785

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Solution

The third proportional to 173,676 and 259,785 is: 388,587.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,676 : 259,785 = 259,785 : x
  2. Step 2: Convert to fraction form
    173,676/259,785 = 259,785/x
  3. Step 3: Cross multiply
    173,676x = 259,785 × 259,785
  4. Step 4: Simplify right side
    173,676x = 67,488,246,225
  5. Step 5: Solve for x
    x = 67,488,246,225/173,676
  6. Step 6: Final answer
    x = 388,587.06

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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.