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Finding the Third Proportional to 382.13 and 465.38

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Solution

The third proportional to 382.13 and 465.38 is: 566.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.13 : 465.38 = 465.38 : x
  2. Step 2: Convert to fraction form
    382.13/465.38 = 465.38/x
  3. Step 3: Cross multiply
    382.13x = 465.38 × 465.38
  4. Step 4: Simplify right side
    382.13x = 216,573.89
  5. Step 5: Solve for x
    x = 216,573.89/382.13
  6. Step 6: Final answer
    x = 566.76

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.