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Finding the Third Proportional to 200,540 and 300,848

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Solution

The third proportional to 200,540 and 300,848 is: 451,329.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,540 : 300,848 = 300,848 : x
  2. Step 2: Convert to fraction form
    200,540/300,848 = 300,848/x
  3. Step 3: Cross multiply
    200,540x = 300,848 × 300,848
  4. Step 4: Simplify right side
    200,540x = 90,509,519,104
  5. Step 5: Solve for x
    x = 90,509,519,104/200,540
  6. Step 6: Final answer
    x = 451,329.01

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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.