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Finding the Third Proportional to 202.03 and 240.52

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Solution

The third proportional to 202.03 and 240.52 is: 286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.03 : 240.52 = 240.52 : x
  2. Step 2: Convert to fraction form
    202.03/240.52 = 240.52/x
  3. Step 3: Cross multiply
    202.03x = 240.52 × 240.52
  4. Step 4: Simplify right side
    202.03x = 57,847.77
  5. Step 5: Solve for x
    x = 57,847.77/202.03
  6. Step 6: Final answer
    x = 286.33

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.