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Finding the Third Proportional to 193,595 and 284,044

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Solution

The third proportional to 193,595 and 284,044 is: 416,751.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,595 : 284,044 = 284,044 : x
  2. Step 2: Convert to fraction form
    193,595/284,044 = 284,044/x
  3. Step 3: Cross multiply
    193,595x = 284,044 × 284,044
  4. Step 4: Simplify right side
    193,595x = 80,680,993,936
  5. Step 5: Solve for x
    x = 80,680,993,936/193,595
  6. Step 6: Final answer
    x = 416,751.43

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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.