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Finding the Third Proportional to 201,177 and 418,878

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Solution

The third proportional to 201,177 and 418,878 is: 872,161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,177 : 418,878 = 418,878 : x
  2. Step 2: Convert to fraction form
    201,177/418,878 = 418,878/x
  3. Step 3: Cross multiply
    201,177x = 418,878 × 418,878
  4. Step 4: Simplify right side
    201,177x = 175,458,778,884
  5. Step 5: Solve for x
    x = 175,458,778,884/201,177
  6. Step 6: Final answer
    x = 872,161.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.