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Finding the Third Proportional to 151.88 and 333.29

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Solution

The third proportional to 151.88 and 333.29 is: 731.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.88 : 333.29 = 333.29 : x
  2. Step 2: Convert to fraction form
    151.88/333.29 = 333.29/x
  3. Step 3: Cross multiply
    151.88x = 333.29 × 333.29
  4. Step 4: Simplify right side
    151.88x = 111,085.18
  5. Step 5: Solve for x
    x = 111,085.18/151.88
  6. Step 6: Final answer
    x = 731.43

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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.