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Finding the Third Proportional to 286.69 and 430.13

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Solution

The third proportional to 286.69 and 430.13 is: 645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.69 : 430.13 = 430.13 : x
  2. Step 2: Convert to fraction form
    286.69/430.13 = 430.13/x
  3. Step 3: Cross multiply
    286.69x = 430.13 × 430.13
  4. Step 4: Simplify right side
    286.69x = 185,007.52
  5. Step 5: Solve for x
    x = 185,007.52/286.69
  6. Step 6: Final answer
    x = 645.33

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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.