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Finding the Third Proportional to 249.84 and 374.59

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Solution

The third proportional to 249.84 and 374.59 is: 561.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.84 : 374.59 = 374.59 : x
  2. Step 2: Convert to fraction form
    249.84/374.59 = 374.59/x
  3. Step 3: Cross multiply
    249.84x = 374.59 × 374.59
  4. Step 4: Simplify right side
    249.84x = 140,320.48
  5. Step 5: Solve for x
    x = 140,320.48/249.84
  6. Step 6: Final answer
    x = 561.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.