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Finding the Third Proportional to 184,742 and 397,110

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Solution

The third proportional to 184,742 and 397,110 is: 853,603.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,742 : 397,110 = 397,110 : x
  2. Step 2: Convert to fraction form
    184,742/397,110 = 397,110/x
  3. Step 3: Cross multiply
    184,742x = 397,110 × 397,110
  4. Step 4: Simplify right side
    184,742x = 157,696,352,100
  5. Step 5: Solve for x
    x = 157,696,352,100/184,742
  6. Step 6: Final answer
    x = 853,603.14

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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.