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Finding the Third Proportional to 193,880 and 284,439

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Solution

The third proportional to 193,880 and 284,439 is: 417,297.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,880 : 284,439 = 284,439 : x
  2. Step 2: Convert to fraction form
    193,880/284,439 = 284,439/x
  3. Step 3: Cross multiply
    193,880x = 284,439 × 284,439
  4. Step 4: Simplify right side
    193,880x = 80,905,544,721
  5. Step 5: Solve for x
    x = 80,905,544,721/193,880
  6. Step 6: Final answer
    x = 417,297.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.