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Finding the Third Proportional to 173,299 and 231,802

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Solution

The third proportional to 173,299 and 231,802 is: 310,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,299 : 231,802 = 231,802 : x
  2. Step 2: Convert to fraction form
    173,299/231,802 = 231,802/x
  3. Step 3: Cross multiply
    173,299x = 231,802 × 231,802
  4. Step 4: Simplify right side
    173,299x = 53,732,167,204
  5. Step 5: Solve for x
    x = 53,732,167,204/173,299
  6. Step 6: Final answer
    x = 310,054.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.