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Finding the Third Proportional to 180,850.50 and 406,179

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Solution

The third proportional to 180,850.50 and 406,179 is: 912,252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,850.50 : 406,179 = 406,179 : x
  2. Step 2: Convert to fraction form
    180,850.50/406,179 = 406,179/x
  3. Step 3: Cross multiply
    180,850.50x = 406,179 × 406,179
  4. Step 4: Simplify right side
    180,850.50x = 164,981,380,041
  5. Step 5: Solve for x
    x = 164,981,380,041/180,850.50
  6. Step 6: Final answer
    x = 912,252.83

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.