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Finding the Third Proportional to 187,858 and 416,230

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Solution

The third proportional to 187,858 and 416,230 is: 922,225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,858 : 416,230 = 416,230 : x
  2. Step 2: Convert to fraction form
    187,858/416,230 = 416,230/x
  3. Step 3: Cross multiply
    187,858x = 416,230 × 416,230
  4. Step 4: Simplify right side
    187,858x = 173,247,412,900
  5. Step 5: Solve for x
    x = 173,247,412,900/187,858
  6. Step 6: Final answer
    x = 922,225.37

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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.