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Finding the Third Proportional to 181,104 and 395,862

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Solution

The third proportional to 181,104 and 395,862 is: 865,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,104 : 395,862 = 395,862 : x
  2. Step 2: Convert to fraction form
    181,104/395,862 = 395,862/x
  3. Step 3: Cross multiply
    181,104x = 395,862 × 395,862
  4. Step 4: Simplify right side
    181,104x = 156,706,723,044
  5. Step 5: Solve for x
    x = 156,706,723,044/181,104
  6. Step 6: Final answer
    x = 865,285.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.