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Finding the Third Proportional to 322.31 and 356.06

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Solution

The third proportional to 322.31 and 356.06 is: 393.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.31 : 356.06 = 356.06 : x
  2. Step 2: Convert to fraction form
    322.31/356.06 = 356.06/x
  3. Step 3: Cross multiply
    322.31x = 356.06 × 356.06
  4. Step 4: Simplify right side
    322.31x = 126,780.50
  5. Step 5: Solve for x
    x = 126,780.50/322.31
  6. Step 6: Final answer
    x = 393.35

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.