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Finding the Third Proportional to 173,992 and 231,342

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Solution

The third proportional to 173,992 and 231,342 is: 307,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,992 : 231,342 = 231,342 : x
  2. Step 2: Convert to fraction form
    173,992/231,342 = 231,342/x
  3. Step 3: Cross multiply
    173,992x = 231,342 × 231,342
  4. Step 4: Simplify right side
    173,992x = 53,519,120,964
  5. Step 5: Solve for x
    x = 53,519,120,964/173,992
  6. Step 6: Final answer
    x = 307,595.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.