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Finding the Third Proportional to 85,866 and 184,430

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Solution

The third proportional to 85,866 and 184,430 is: 396,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,866 : 184,430 = 184,430 : x
  2. Step 2: Convert to fraction form
    85,866/184,430 = 184,430/x
  3. Step 3: Cross multiply
    85,866x = 184,430 × 184,430
  4. Step 4: Simplify right side
    85,866x = 34,014,424,900
  5. Step 5: Solve for x
    x = 34,014,424,900/85,866
  6. Step 6: Final answer
    x = 396,133.80

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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.