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Finding the Third Proportional to 348.25 and 537.69

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Solution

The third proportional to 348.25 and 537.69 is: 830.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.25 : 537.69 = 537.69 : x
  2. Step 2: Convert to fraction form
    348.25/537.69 = 537.69/x
  3. Step 3: Cross multiply
    348.25x = 537.69 × 537.69
  4. Step 4: Simplify right side
    348.25x = 289,107.85
  5. Step 5: Solve for x
    x = 289,107.85/348.25
  6. Step 6: Final answer
    x = 830.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.