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Finding the Third Proportional to 116,908.31 and 181,382.06

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Solution

The third proportional to 116,908.31 and 181,382.06 is: 281,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,908.31 : 181,382.06 = 181,382.06 : x
  2. Step 2: Convert to fraction form
    116,908.31/181,382.06 = 181,382.06/x
  3. Step 3: Cross multiply
    116,908.31x = 181,382.06 × 181,382.06
  4. Step 4: Simplify right side
    116,908.31x = 32,899,452,596.75
  5. Step 5: Solve for x
    x = 32,899,452,596.75/116,908.31
  6. Step 6: Final answer
    x = 281,412.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.