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Finding the Third Proportional to 283.88 and 434.19

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Solution

The third proportional to 283.88 and 434.19 is: 664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.88 : 434.19 = 434.19 : x
  2. Step 2: Convert to fraction form
    283.88/434.19 = 434.19/x
  3. Step 3: Cross multiply
    283.88x = 434.19 × 434.19
  4. Step 4: Simplify right side
    283.88x = 188,518.79
  5. Step 5: Solve for x
    x = 188,518.79/283.88
  6. Step 6: Final answer
    x = 664.09

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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.