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Finding the Third Proportional to 197,267 and 431,836

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Solution

The third proportional to 197,267 and 431,836 is: 945,329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,267 : 431,836 = 431,836 : x
  2. Step 2: Convert to fraction form
    197,267/431,836 = 431,836/x
  3. Step 3: Cross multiply
    197,267x = 431,836 × 431,836
  4. Step 4: Simplify right side
    197,267x = 186,482,330,896
  5. Step 5: Solve for x
    x = 186,482,330,896/197,267
  6. Step 6: Final answer
    x = 945,329.58

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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.