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Finding the Third Proportional to 200,556 and 300,878

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Solution

The third proportional to 200,556 and 300,878 is: 451,383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,556 : 300,878 = 300,878 : x
  2. Step 2: Convert to fraction form
    200,556/300,878 = 300,878/x
  3. Step 3: Cross multiply
    200,556x = 300,878 × 300,878
  4. Step 4: Simplify right side
    200,556x = 90,527,570,884
  5. Step 5: Solve for x
    x = 90,527,570,884/200,556
  6. Step 6: Final answer
    x = 451,383.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.