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Finding the Third Proportional to 85,365.42 and 184,408.17

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Solution

The third proportional to 85,365.42 and 184,408.17 is: 398,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,365.42 : 184,408.17 = 184,408.17 : x
  2. Step 2: Convert to fraction form
    85,365.42/184,408.17 = 184,408.17/x
  3. Step 3: Cross multiply
    85,365.42x = 184,408.17 × 184,408.17
  4. Step 4: Simplify right side
    85,365.42x = 34,006,373,854.28
  5. Step 5: Solve for x
    x = 34,006,373,854.28/85,365.42
  6. Step 6: Final answer
    x = 398,362.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.