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Finding the Third Proportional to 332.81 and 468.38

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Solution

The third proportional to 332.81 and 468.38 is: 659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.81 : 468.38 = 468.38 : x
  2. Step 2: Convert to fraction form
    332.81/468.38 = 468.38/x
  3. Step 3: Cross multiply
    332.81x = 468.38 × 468.38
  4. Step 4: Simplify right side
    332.81x = 219,375.14
  5. Step 5: Solve for x
    x = 219,375.14/332.81
  6. Step 6: Final answer
    x = 659.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.