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Finding the Third Proportional to 137.81 and 298.13

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Solution

The third proportional to 137.81 and 298.13 is: 644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.81 : 298.13 = 298.13 : x
  2. Step 2: Convert to fraction form
    137.81/298.13 = 298.13/x
  3. Step 3: Cross multiply
    137.81x = 298.13 × 298.13
  4. Step 4: Simplify right side
    137.81x = 88,878.52
  5. Step 5: Solve for x
    x = 88,878.52/137.81
  6. Step 6: Final answer
    x = 644.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.