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Finding the Third Proportional to 249.31 and 356.88

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Solution

The third proportional to 249.31 and 356.88 is: 510.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.31 : 356.88 = 356.88 : x
  2. Step 2: Convert to fraction form
    249.31/356.88 = 356.88/x
  3. Step 3: Cross multiply
    249.31x = 356.88 × 356.88
  4. Step 4: Simplify right side
    249.31x = 127,359.77
  5. Step 5: Solve for x
    x = 127,359.77/249.31
  6. Step 6: Final answer
    x = 510.84

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.