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Finding the Third Proportional to 193,806 and 284,136.75

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Solution

The third proportional to 193,806 and 284,136.75 is: 416,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,806 : 284,136.75 = 284,136.75 : x
  2. Step 2: Convert to fraction form
    193,806/284,136.75 = 284,136.75/x
  3. Step 3: Cross multiply
    193,806x = 284,136.75 × 284,136.75
  4. Step 4: Simplify right side
    193,806x = 80,733,692,700.56
  5. Step 5: Solve for x
    x = 80,733,692,700.56/193,806
  6. Step 6: Final answer
    x = 416,569.62

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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.