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Finding the Third Proportional to 286.31 and 306.56

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Solution

The third proportional to 286.31 and 306.56 is: 328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.31 : 306.56 = 306.56 : x
  2. Step 2: Convert to fraction form
    286.31/306.56 = 306.56/x
  3. Step 3: Cross multiply
    286.31x = 306.56 × 306.56
  4. Step 4: Simplify right side
    286.31x = 93,980.57
  5. Step 5: Solve for x
    x = 93,980.57/286.31
  6. Step 6: Final answer
    x = 328.24

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.