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Finding the Third Proportional to 289.38 and 434.09

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Solution

The third proportional to 289.38 and 434.09 is: 651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.38 : 434.09 = 434.09 : x
  2. Step 2: Convert to fraction form
    289.38/434.09 = 434.09/x
  3. Step 3: Cross multiply
    289.38x = 434.09 × 434.09
  4. Step 4: Simplify right side
    289.38x = 188,437.38
  5. Step 5: Solve for x
    x = 188,437.38/289.38
  6. Step 6: Final answer
    x = 651.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.