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Finding the Third Proportional to 86,284.50 and 184,564.50

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Solution

The third proportional to 86,284.50 and 184,564.50 is: 394,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,284.50 : 184,564.50 = 184,564.50 : x
  2. Step 2: Convert to fraction form
    86,284.50/184,564.50 = 184,564.50/x
  3. Step 3: Cross multiply
    86,284.50x = 184,564.50 × 184,564.50
  4. Step 4: Simplify right side
    86,284.50x = 34,064,054,660.25
  5. Step 5: Solve for x
    x = 34,064,054,660.25/86,284.50
  6. Step 6: Final answer
    x = 394,787.65

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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.