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Finding the Third Proportional to 183,686 and 283,722

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Solution

The third proportional to 183,686 and 283,722 is: 438,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,686 : 283,722 = 283,722 : x
  2. Step 2: Convert to fraction form
    183,686/283,722 = 283,722/x
  3. Step 3: Cross multiply
    183,686x = 283,722 × 283,722
  4. Step 4: Simplify right side
    183,686x = 80,498,173,284
  5. Step 5: Solve for x
    x = 80,498,173,284/183,686
  6. Step 6: Final answer
    x = 438,237.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.