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Finding the Third Proportional to 202.92 and 531.77

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Solution

The third proportional to 202.92 and 531.77 is: 1,393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.92 : 531.77 = 531.77 : x
  2. Step 2: Convert to fraction form
    202.92/531.77 = 531.77/x
  3. Step 3: Cross multiply
    202.92x = 531.77 × 531.77
  4. Step 4: Simplify right side
    202.92x = 282,782.99
  5. Step 5: Solve for x
    x = 282,782.99/202.92
  6. Step 6: Final answer
    x = 1,393.56

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Why These Related Problems?

These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.