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Finding the Third Proportional to 200,280 and 311,916

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Solution

The third proportional to 200,280 and 311,916 is: 485,777.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,280 : 311,916 = 311,916 : x
  2. Step 2: Convert to fraction form
    200,280/311,916 = 311,916/x
  3. Step 3: Cross multiply
    200,280x = 311,916 × 311,916
  4. Step 4: Simplify right side
    200,280x = 97,291,591,056
  5. Step 5: Solve for x
    x = 97,291,591,056/200,280
  6. Step 6: Final answer
    x = 485,777.87

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Why These Related Problems?

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