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Finding the Third Proportional to 84,679.75 and 182,578

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Solution

The third proportional to 84,679.75 and 182,578 is: 393,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,679.75 : 182,578 = 182,578 : x
  2. Step 2: Convert to fraction form
    84,679.75/182,578 = 182,578/x
  3. Step 3: Cross multiply
    84,679.75x = 182,578 × 182,578
  4. Step 4: Simplify right side
    84,679.75x = 33,334,726,084
  5. Step 5: Solve for x
    x = 33,334,726,084/84,679.75
  6. Step 6: Final answer
    x = 393,656.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.