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Finding the Third Proportional to 129.75 and 283.52

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Solution

The third proportional to 129.75 and 283.52 is: 619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.75 : 283.52 = 283.52 : x
  2. Step 2: Convert to fraction form
    129.75/283.52 = 283.52/x
  3. Step 3: Cross multiply
    129.75x = 283.52 × 283.52
  4. Step 4: Simplify right side
    129.75x = 80,383.46
  5. Step 5: Solve for x
    x = 80,383.46/129.75
  6. Step 6: Final answer
    x = 619.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.