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Finding the Third Proportional to 151.88 and 325.69

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Solution

The third proportional to 151.88 and 325.69 is: 698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.88 : 325.69 = 325.69 : x
  2. Step 2: Convert to fraction form
    151.88/325.69 = 325.69/x
  3. Step 3: Cross multiply
    151.88x = 325.69 × 325.69
  4. Step 4: Simplify right side
    151.88x = 106,072.35
  5. Step 5: Solve for x
    x = 106,072.35/151.88
  6. Step 6: Final answer
    x = 698.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.