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Finding the Third Proportional to 187,860 and 416,234

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Solution

The third proportional to 187,860 and 416,234 is: 922,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,860 : 416,234 = 416,234 : x
  2. Step 2: Convert to fraction form
    187,860/416,234 = 416,234/x
  3. Step 3: Cross multiply
    187,860x = 416,234 × 416,234
  4. Step 4: Simplify right side
    187,860x = 173,250,742,756
  5. Step 5: Solve for x
    x = 173,250,742,756/187,860
  6. Step 6: Final answer
    x = 922,233.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.