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Finding the Third Proportional to 84,206.75 and 182,577.75

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Solution

The third proportional to 84,206.75 and 182,577.75 is: 395,866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,206.75 : 182,577.75 = 182,577.75 : x
  2. Step 2: Convert to fraction form
    84,206.75/182,577.75 = 182,577.75/x
  3. Step 3: Cross multiply
    84,206.75x = 182,577.75 × 182,577.75
  4. Step 4: Simplify right side
    84,206.75x = 33,334,634,795.06
  5. Step 5: Solve for x
    x = 33,334,634,795.06/84,206.75
  6. Step 6: Final answer
    x = 395,866.54

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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.