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Finding the Third Proportional to 244.97 and 285.19

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Solution

The third proportional to 244.97 and 285.19 is: 332.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.97 : 285.19 = 285.19 : x
  2. Step 2: Convert to fraction form
    244.97/285.19 = 285.19/x
  3. Step 3: Cross multiply
    244.97x = 285.19 × 285.19
  4. Step 4: Simplify right side
    244.97x = 81,331.91
  5. Step 5: Solve for x
    x = 81,331.91/244.97
  6. Step 6: Final answer
    x = 332.01

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.