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Finding the Third Proportional to 200,554 and 300,875

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Solution

The third proportional to 200,554 and 300,875 is: 451,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,554 : 300,875 = 300,875 : x
  2. Step 2: Convert to fraction form
    200,554/300,875 = 300,875/x
  3. Step 3: Cross multiply
    200,554x = 300,875 × 300,875
  4. Step 4: Simplify right side
    200,554x = 90,525,765,625
  5. Step 5: Solve for x
    x = 90,525,765,625/200,554
  6. Step 6: Final answer
    x = 451,378.51

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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.