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Finding the Third Proportional to 231,612.75 and 336,864.38

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Solution

The third proportional to 231,612.75 and 336,864.38 is: 489,945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,612.75 : 336,864.38 = 336,864.38 : x
  2. Step 2: Convert to fraction form
    231,612.75/336,864.38 = 336,864.38/x
  3. Step 3: Cross multiply
    231,612.75x = 336,864.38 × 336,864.38
  4. Step 4: Simplify right side
    231,612.75x = 113,477,607,144.14
  5. Step 5: Solve for x
    x = 113,477,607,144.14/231,612.75
  6. Step 6: Final answer
    x = 489,945.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.