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Finding the Third Proportional to 85,607.50 and 184,391

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Solution

The third proportional to 85,607.50 and 184,391 is: 397,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,607.50 : 184,391 = 184,391 : x
  2. Step 2: Convert to fraction form
    85,607.50/184,391 = 184,391/x
  3. Step 3: Cross multiply
    85,607.50x = 184,391 × 184,391
  4. Step 4: Simplify right side
    85,607.50x = 34,000,040,881
  5. Step 5: Solve for x
    x = 34,000,040,881/85,607.50
  6. Step 6: Final answer
    x = 397,161.94

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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.