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Finding the Third Proportional to 143,521.88 and 213,642.56

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Solution

The third proportional to 143,521.88 and 213,642.56 is: 318,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,521.88 : 213,642.56 = 213,642.56 : x
  2. Step 2: Convert to fraction form
    143,521.88/213,642.56 = 213,642.56/x
  3. Step 3: Cross multiply
    143,521.88x = 213,642.56 × 213,642.56
  4. Step 4: Simplify right side
    143,521.88x = 45,643,144,511.57
  5. Step 5: Solve for x
    x = 45,643,144,511.57/143,521.88
  6. Step 6: Final answer
    x = 318,022.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.