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Finding the Third Proportional to 188,854 and 405,775

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Solution

The third proportional to 188,854 and 405,775 is: 871,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,854 : 405,775 = 405,775 : x
  2. Step 2: Convert to fraction form
    188,854/405,775 = 405,775/x
  3. Step 3: Cross multiply
    188,854x = 405,775 × 405,775
  4. Step 4: Simplify right side
    188,854x = 164,653,350,625
  5. Step 5: Solve for x
    x = 164,653,350,625/188,854
  6. Step 6: Final answer
    x = 871,855.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.