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Finding the Third Proportional to 84,174.28 and 181,701.16

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Solution

The third proportional to 84,174.28 and 181,701.16 is: 392,225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,174.28 : 181,701.16 = 181,701.16 : x
  2. Step 2: Convert to fraction form
    84,174.28/181,701.16 = 181,701.16/x
  3. Step 3: Cross multiply
    84,174.28x = 181,701.16 × 181,701.16
  4. Step 4: Simplify right side
    84,174.28x = 33,015,310,182.59
  5. Step 5: Solve for x
    x = 33,015,310,182.59/84,174.28
  6. Step 6: Final answer
    x = 392,225.63

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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.