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Finding the Third Proportional to 85,158 and 184,716

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Solution

The third proportional to 85,158 and 184,716 is: 400,667.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,158 : 184,716 = 184,716 : x
  2. Step 2: Convert to fraction form
    85,158/184,716 = 184,716/x
  3. Step 3: Cross multiply
    85,158x = 184,716 × 184,716
  4. Step 4: Simplify right side
    85,158x = 34,120,000,656
  5. Step 5: Solve for x
    x = 34,120,000,656/85,158
  6. Step 6: Final answer
    x = 400,667.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.