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Finding the Third Proportional to 144,956.50 and 230,610.75

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Solution

The third proportional to 144,956.50 and 230,610.75 is: 366,877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,956.50 : 230,610.75 = 230,610.75 : x
  2. Step 2: Convert to fraction form
    144,956.50/230,610.75 = 230,610.75/x
  3. Step 3: Cross multiply
    144,956.50x = 230,610.75 × 230,610.75
  4. Step 4: Simplify right side
    144,956.50x = 53,181,318,015.56
  5. Step 5: Solve for x
    x = 53,181,318,015.56/144,956.50
  6. Step 6: Final answer
    x = 366,877.77

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.