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Finding the Third Proportional to 197,463 and 297,942

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Solution

The third proportional to 197,463 and 297,942 is: 449,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,463 : 297,942 = 297,942 : x
  2. Step 2: Convert to fraction form
    197,463/297,942 = 297,942/x
  3. Step 3: Cross multiply
    197,463x = 297,942 × 297,942
  4. Step 4: Simplify right side
    197,463x = 88,769,435,364
  5. Step 5: Solve for x
    x = 88,769,435,364/197,463
  6. Step 6: Final answer
    x = 449,549.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.