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Finding the Third Proportional to 201.66 and 322.59

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Solution

The third proportional to 201.66 and 322.59 is: 516.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.66 : 322.59 = 322.59 : x
  2. Step 2: Convert to fraction form
    201.66/322.59 = 322.59/x
  3. Step 3: Cross multiply
    201.66x = 322.59 × 322.59
  4. Step 4: Simplify right side
    201.66x = 104,066.73
  5. Step 5: Solve for x
    x = 104,066.73/201.66
  6. Step 6: Final answer
    x = 516.06

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.