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Finding the Third Proportional to 85.75 and 202

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Solution

The third proportional to 85.75 and 202 is: 475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.75 : 202 = 202 : x
  2. Step 2: Convert to fraction form
    85.75/202 = 202/x
  3. Step 3: Cross multiply
    85.75x = 202 × 202
  4. Step 4: Simplify right side
    85.75x = 40,804
  5. Step 5: Solve for x
    x = 40,804/85.75
  6. Step 6: Final answer
    x = 475.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.