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Finding the Third Proportional to 114.38 and 250.41

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Solution

The third proportional to 114.38 and 250.41 is: 548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.38 : 250.41 = 250.41 : x
  2. Step 2: Convert to fraction form
    114.38/250.41 = 250.41/x
  3. Step 3: Cross multiply
    114.38x = 250.41 × 250.41
  4. Step 4: Simplify right side
    114.38x = 62,703.29
  5. Step 5: Solve for x
    x = 62,703.29/114.38
  6. Step 6: Final answer
    x = 548.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.