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Finding the Third Proportional to 183,986 and 271,878

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Solution

The third proportional to 183,986 and 271,878 is: 401,756.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,986 : 271,878 = 271,878 : x
  2. Step 2: Convert to fraction form
    183,986/271,878 = 271,878/x
  3. Step 3: Cross multiply
    183,986x = 271,878 × 271,878
  4. Step 4: Simplify right side
    183,986x = 73,917,646,884
  5. Step 5: Solve for x
    x = 73,917,646,884/183,986
  6. Step 6: Final answer
    x = 401,756.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.