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Finding the Third Proportional to 226,963.13 and 318,084.75

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Solution

The third proportional to 226,963.13 and 318,084.75 is: 445,790.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,963.13 : 318,084.75 = 318,084.75 : x
  2. Step 2: Convert to fraction form
    226,963.13/318,084.75 = 318,084.75/x
  3. Step 3: Cross multiply
    226,963.13x = 318,084.75 × 318,084.75
  4. Step 4: Simplify right side
    226,963.13x = 101,177,908,182.56
  5. Step 5: Solve for x
    x = 101,177,908,182.56/226,963.13
  6. Step 6: Final answer
    x = 445,790.07

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.