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Finding the Third Proportional to 115,584.94 and 181,364.38

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Solution

The third proportional to 115,584.94 and 181,364.38 is: 284,578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,584.94 : 181,364.38 = 181,364.38 : x
  2. Step 2: Convert to fraction form
    115,584.94/181,364.38 = 181,364.38/x
  3. Step 3: Cross multiply
    115,584.94x = 181,364.38 × 181,364.38
  4. Step 4: Simplify right side
    115,584.94x = 32,893,037,936.05
  5. Step 5: Solve for x
    x = 32,893,037,936.05/115,584.94
  6. Step 6: Final answer
    x = 284,578.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.