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Finding the Third Proportional to 243,086.75 and 367,983.75

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Solution

The third proportional to 243,086.75 and 367,983.75 is: 557,052.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,086.75 : 367,983.75 = 367,983.75 : x
  2. Step 2: Convert to fraction form
    243,086.75/367,983.75 = 367,983.75/x
  3. Step 3: Cross multiply
    243,086.75x = 367,983.75 × 367,983.75
  4. Step 4: Simplify right side
    243,086.75x = 135,412,040,264.06
  5. Step 5: Solve for x
    x = 135,412,040,264.06/243,086.75
  6. Step 6: Final answer
    x = 557,052.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.