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Finding the Third Proportional to 197,227 and 431,998

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Solution

The third proportional to 197,227 and 431,998 is: 946,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,227 : 431,998 = 431,998 : x
  2. Step 2: Convert to fraction form
    197,227/431,998 = 431,998/x
  3. Step 3: Cross multiply
    197,227x = 431,998 × 431,998
  4. Step 4: Simplify right side
    197,227x = 186,622,272,004
  5. Step 5: Solve for x
    x = 186,622,272,004/197,227
  6. Step 6: Final answer
    x = 946,230.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.