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Finding the Third Proportional to 143,616.38 and 227,304.56

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Solution

The third proportional to 143,616.38 and 227,304.56 is: 359,759.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,616.38 : 227,304.56 = 227,304.56 : x
  2. Step 2: Convert to fraction form
    143,616.38/227,304.56 = 227,304.56/x
  3. Step 3: Cross multiply
    143,616.38x = 227,304.56 × 227,304.56
  4. Step 4: Simplify right side
    143,616.38x = 51,667,364,133.32
  5. Step 5: Solve for x
    x = 51,667,364,133.32/143,616.38
  6. Step 6: Final answer
    x = 359,759.56

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.