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Finding the Third Proportional to 150.38 and 325.88

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Solution

The third proportional to 150.38 and 325.88 is: 706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.38 : 325.88 = 325.88 : x
  2. Step 2: Convert to fraction form
    150.38/325.88 = 325.88/x
  3. Step 3: Cross multiply
    150.38x = 325.88 × 325.88
  4. Step 4: Simplify right side
    150.38x = 106,194.52
  5. Step 5: Solve for x
    x = 106,194.52/150.38
  6. Step 6: Final answer
    x = 706.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.