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Finding the Third Proportional to 231,297.75 and 337,101.75

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Solution

The third proportional to 231,297.75 and 337,101.75 is: 491,304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,297.75 : 337,101.75 = 337,101.75 : x
  2. Step 2: Convert to fraction form
    231,297.75/337,101.75 = 337,101.75/x
  3. Step 3: Cross multiply
    231,297.75x = 337,101.75 × 337,101.75
  4. Step 4: Simplify right side
    231,297.75x = 113,637,589,853.06
  5. Step 5: Solve for x
    x = 113,637,589,853.06/231,297.75
  6. Step 6: Final answer
    x = 491,304.35

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Why These Related Problems?

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