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Finding the Third Proportional to 338.25 and 511.06

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Solution

The third proportional to 338.25 and 511.06 is: 772.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.25 : 511.06 = 511.06 : x
  2. Step 2: Convert to fraction form
    338.25/511.06 = 511.06/x
  3. Step 3: Cross multiply
    338.25x = 511.06 × 511.06
  4. Step 4: Simplify right side
    338.25x = 261,184.88
  5. Step 5: Solve for x
    x = 261,184.88/338.25
  6. Step 6: Final answer
    x = 772.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.