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Finding the Third Proportional to 84,210.56 and 182,439.94

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Solution

The third proportional to 84,210.56 and 182,439.94 is: 395,251.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,210.56 : 182,439.94 = 182,439.94 : x
  2. Step 2: Convert to fraction form
    84,210.56/182,439.94 = 182,439.94/x
  3. Step 3: Cross multiply
    84,210.56x = 182,439.94 × 182,439.94
  4. Step 4: Simplify right side
    84,210.56x = 33,284,330,795.00
  5. Step 5: Solve for x
    x = 33,284,330,795.00/84,210.56
  6. Step 6: Final answer
    x = 395,251.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.