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Finding the Third Proportional to 201.66 and 287.93

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Solution

The third proportional to 201.66 and 287.93 is: 411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.66 : 287.93 = 287.93 : x
  2. Step 2: Convert to fraction form
    201.66/287.93 = 287.93/x
  3. Step 3: Cross multiply
    201.66x = 287.93 × 287.93
  4. Step 4: Simplify right side
    201.66x = 82,903.50
  5. Step 5: Solve for x
    x = 82,903.50/201.66
  6. Step 6: Final answer
    x = 411.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.