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Finding the Third Proportional to 197,204 and 431,726

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Solution

The third proportional to 197,204 and 431,726 is: 945,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,204 : 431,726 = 431,726 : x
  2. Step 2: Convert to fraction form
    197,204/431,726 = 431,726/x
  3. Step 3: Cross multiply
    197,204x = 431,726 × 431,726
  4. Step 4: Simplify right side
    197,204x = 186,387,339,076
  5. Step 5: Solve for x
    x = 186,387,339,076/197,204
  6. Step 6: Final answer
    x = 945,149.89

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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.