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Finding the Third Proportional to 75.84 and 183.42

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Solution

The third proportional to 75.84 and 183.42 is: 443.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.84 : 183.42 = 183.42 : x
  2. Step 2: Convert to fraction form
    75.84/183.42 = 183.42/x
  3. Step 3: Cross multiply
    75.84x = 183.42 × 183.42
  4. Step 4: Simplify right side
    75.84x = 33,643.58
  5. Step 5: Solve for x
    x = 33,643.58/75.84
  6. Step 6: Final answer
    x = 443.59

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.