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Finding the Third Proportional to 180,849 and 406,176

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Solution

The third proportional to 180,849 and 406,176 is: 912,246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,849 : 406,176 = 406,176 : x
  2. Step 2: Convert to fraction form
    180,849/406,176 = 406,176/x
  3. Step 3: Cross multiply
    180,849x = 406,176 × 406,176
  4. Step 4: Simplify right side
    180,849x = 164,978,942,976
  5. Step 5: Solve for x
    x = 164,978,942,976/180,849
  6. Step 6: Final answer
    x = 912,246.92

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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.