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Finding the Third Proportional to 84,507.05 and 182,546.16

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Solution

The third proportional to 84,507.05 and 182,546.16 is: 394,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,507.05 : 182,546.16 = 182,546.16 : x
  2. Step 2: Convert to fraction form
    84,507.05/182,546.16 = 182,546.16/x
  3. Step 3: Cross multiply
    84,507.05x = 182,546.16 × 182,546.16
  4. Step 4: Simplify right side
    84,507.05x = 33,323,099,161.65
  5. Step 5: Solve for x
    x = 33,323,099,161.65/84,507.05
  6. Step 6: Final answer
    x = 394,323.32

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Why These Related Problems?

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