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Finding the Third Proportional to 284.25 and 434.81

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Solution

The third proportional to 284.25 and 434.81 is: 665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.25 : 434.81 = 434.81 : x
  2. Step 2: Convert to fraction form
    284.25/434.81 = 434.81/x
  3. Step 3: Cross multiply
    284.25x = 434.81 × 434.81
  4. Step 4: Simplify right side
    284.25x = 189,061.91
  5. Step 5: Solve for x
    x = 189,061.91/284.25
  6. Step 6: Final answer
    x = 665.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.