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Finding the Third Proportional to 284.81 and 303.56

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Solution

The third proportional to 284.81 and 303.56 is: 323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.81 : 303.56 = 303.56 : x
  2. Step 2: Convert to fraction form
    284.81/303.56 = 303.56/x
  3. Step 3: Cross multiply
    284.81x = 303.56 × 303.56
  4. Step 4: Simplify right side
    284.81x = 92,150.19
  5. Step 5: Solve for x
    x = 92,150.19/284.81
  6. Step 6: Final answer
    x = 323.55

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.