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Finding the Third Proportional to 338.88 and 508.38

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Solution

The third proportional to 338.88 and 508.38 is: 762.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.88 : 508.38 = 508.38 : x
  2. Step 2: Convert to fraction form
    338.88/508.38 = 508.38/x
  3. Step 3: Cross multiply
    338.88x = 508.38 × 508.38
  4. Step 4: Simplify right side
    338.88x = 258,445.14
  5. Step 5: Solve for x
    x = 258,445.14/338.88
  6. Step 6: Final answer
    x = 762.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.