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Finding the Third Proportional to 201.23 and 296.16

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Solution

The third proportional to 201.23 and 296.16 is: 435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.23 : 296.16 = 296.16 : x
  2. Step 2: Convert to fraction form
    201.23/296.16 = 296.16/x
  3. Step 3: Cross multiply
    201.23x = 296.16 × 296.16
  4. Step 4: Simplify right side
    201.23x = 87,708.52
  5. Step 5: Solve for x
    x = 87,708.52/201.23
  6. Step 6: Final answer
    x = 435.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.