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Finding the Third Proportional to 85,808 and 184,480

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Solution

The third proportional to 85,808 and 184,480 is: 396,616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,808 : 184,480 = 184,480 : x
  2. Step 2: Convert to fraction form
    85,808/184,480 = 184,480/x
  3. Step 3: Cross multiply
    85,808x = 184,480 × 184,480
  4. Step 4: Simplify right side
    85,808x = 34,032,870,400
  5. Step 5: Solve for x
    x = 34,032,870,400/85,808
  6. Step 6: Final answer
    x = 396,616.52

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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.