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Finding the Third Proportional to 231,202.13 and 362,787.75

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Solution

The third proportional to 231,202.13 and 362,787.75 is: 569,263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,202.13 : 362,787.75 = 362,787.75 : x
  2. Step 2: Convert to fraction form
    231,202.13/362,787.75 = 362,787.75/x
  3. Step 3: Cross multiply
    231,202.13x = 362,787.75 × 362,787.75
  4. Step 4: Simplify right side
    231,202.13x = 131,614,951,550.06
  5. Step 5: Solve for x
    x = 131,614,951,550.06/231,202.13
  6. Step 6: Final answer
    x = 569,263.59

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.