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Finding the Third Proportional to 86,308.50 and 184,610

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Solution

The third proportional to 86,308.50 and 184,610 is: 394,872.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,308.50 : 184,610 = 184,610 : x
  2. Step 2: Convert to fraction form
    86,308.50/184,610 = 184,610/x
  3. Step 3: Cross multiply
    86,308.50x = 184,610 × 184,610
  4. Step 4: Simplify right side
    86,308.50x = 34,080,852,100
  5. Step 5: Solve for x
    x = 34,080,852,100/86,308.50
  6. Step 6: Final answer
    x = 394,872.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.