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Finding the Third Proportional to 201.34 and 332.65

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Solution

The third proportional to 201.34 and 332.65 is: 549.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.34 : 332.65 = 332.65 : x
  2. Step 2: Convert to fraction form
    201.34/332.65 = 332.65/x
  3. Step 3: Cross multiply
    201.34x = 332.65 × 332.65
  4. Step 4: Simplify right side
    201.34x = 110,654.98
  5. Step 5: Solve for x
    x = 110,654.98/201.34
  6. Step 6: Final answer
    x = 549.59

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.