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Finding the Third Proportional to 331.13 and 508.38

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Solution

The third proportional to 331.13 and 508.38 is: 780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.13 : 508.38 = 508.38 : x
  2. Step 2: Convert to fraction form
    331.13/508.38 = 508.38/x
  3. Step 3: Cross multiply
    331.13x = 508.38 × 508.38
  4. Step 4: Simplify right side
    331.13x = 258,445.14
  5. Step 5: Solve for x
    x = 258,445.14/331.13
  6. Step 6: Final answer
    x = 780.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.