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Finding the Third Proportional to 143,669.25 and 217,504.13

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Solution

The third proportional to 143,669.25 and 217,504.13 is: 329,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,669.25 : 217,504.13 = 217,504.13 : x
  2. Step 2: Convert to fraction form
    143,669.25/217,504.13 = 217,504.13/x
  3. Step 3: Cross multiply
    143,669.25x = 217,504.13 × 217,504.13
  4. Step 4: Simplify right side
    143,669.25x = 47,308,044,392.02
  5. Step 5: Solve for x
    x = 47,308,044,392.02/143,669.25
  6. Step 6: Final answer
    x = 329,284.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.