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Finding the Third Proportional to 244.69 and 357.84

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Solution

The third proportional to 244.69 and 357.84 is: 523.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.69 : 357.84 = 357.84 : x
  2. Step 2: Convert to fraction form
    244.69/357.84 = 357.84/x
  3. Step 3: Cross multiply
    244.69x = 357.84 × 357.84
  4. Step 4: Simplify right side
    244.69x = 128,052.15
  5. Step 5: Solve for x
    x = 128,052.15/244.69
  6. Step 6: Final answer
    x = 523.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.