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Finding the Third Proportional to 244.31 and 353.16

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Solution

The third proportional to 244.31 and 353.16 is: 510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.31 : 353.16 = 353.16 : x
  2. Step 2: Convert to fraction form
    244.31/353.16 = 353.16/x
  3. Step 3: Cross multiply
    244.31x = 353.16 × 353.16
  4. Step 4: Simplify right side
    244.31x = 124,719.34
  5. Step 5: Solve for x
    x = 124,719.34/244.31
  6. Step 6: Final answer
    x = 510.49

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.