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Finding the Third Proportional to 85,214 and 184,532

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Solution

The third proportional to 85,214 and 184,532 is: 399,606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,214 : 184,532 = 184,532 : x
  2. Step 2: Convert to fraction form
    85,214/184,532 = 184,532/x
  3. Step 3: Cross multiply
    85,214x = 184,532 × 184,532
  4. Step 4: Simplify right side
    85,214x = 34,052,059,024
  5. Step 5: Solve for x
    x = 34,052,059,024/85,214
  6. Step 6: Final answer
    x = 399,606.39

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Why These Related Problems?

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