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Finding the Third Proportional to 200,328 and 311,976

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Solution

The third proportional to 200,328 and 311,976 is: 485,848.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,328 : 311,976 = 311,976 : x
  2. Step 2: Convert to fraction form
    200,328/311,976 = 311,976/x
  3. Step 3: Cross multiply
    200,328x = 311,976 × 311,976
  4. Step 4: Simplify right side
    200,328x = 97,329,024,576
  5. Step 5: Solve for x
    x = 97,329,024,576/200,328
  6. Step 6: Final answer
    x = 485,848.33

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.