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Finding the Third Proportional to 183.13 and 284.81

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Solution

The third proportional to 183.13 and 284.81 is: 442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.13 : 284.81 = 284.81 : x
  2. Step 2: Convert to fraction form
    183.13/284.81 = 284.81/x
  3. Step 3: Cross multiply
    183.13x = 284.81 × 284.81
  4. Step 4: Simplify right side
    183.13x = 81,118.16
  5. Step 5: Solve for x
    x = 81,118.16/183.13
  6. Step 6: Final answer
    x = 442.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.