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Finding the Third Proportional to 345.75 and 733.31

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Solution

The third proportional to 345.75 and 733.31 is: 1,555.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.75 : 733.31 = 733.31 : x
  2. Step 2: Convert to fraction form
    345.75/733.31 = 733.31/x
  3. Step 3: Cross multiply
    345.75x = 733.31 × 733.31
  4. Step 4: Simplify right side
    345.75x = 537,747.22
  5. Step 5: Solve for x
    x = 537,747.22/345.75
  6. Step 6: Final answer
    x = 1,555.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.