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Finding the Third Proportional to 231,291 and 337,091.63

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Solution

The third proportional to 231,291 and 337,091.63 is: 491,289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,291 : 337,091.63 = 337,091.63 : x
  2. Step 2: Convert to fraction form
    231,291/337,091.63 = 337,091.63/x
  3. Step 3: Cross multiply
    231,291x = 337,091.63 × 337,091.63
  4. Step 4: Simplify right side
    231,291x = 113,630,763,645.14
  5. Step 5: Solve for x
    x = 113,630,763,645.14/231,291
  6. Step 6: Final answer
    x = 491,289.17

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.