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Finding the Third Proportional to 104,184 and 224,187

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Solution

The third proportional to 104,184 and 224,187 is: 482,413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,184 : 224,187 = 224,187 : x
  2. Step 2: Convert to fraction form
    104,184/224,187 = 224,187/x
  3. Step 3: Cross multiply
    104,184x = 224,187 × 224,187
  4. Step 4: Simplify right side
    104,184x = 50,259,810,969
  5. Step 5: Solve for x
    x = 50,259,810,969/104,184
  6. Step 6: Final answer
    x = 482,413.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.