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Finding the Third Proportional to 150,180 and 325,146

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Solution

The third proportional to 150,180 and 325,146 is: 703,954.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,180 : 325,146 = 325,146 : x
  2. Step 2: Convert to fraction form
    150,180/325,146 = 325,146/x
  3. Step 3: Cross multiply
    150,180x = 325,146 × 325,146
  4. Step 4: Simplify right side
    150,180x = 105,719,921,316
  5. Step 5: Solve for x
    x = 105,719,921,316/150,180
  6. Step 6: Final answer
    x = 703,954.73

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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.