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Finding the Third Proportional to 197,205 and 431,727

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Solution

The third proportional to 197,205 and 431,727 is: 945,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,205 : 431,727 = 431,727 : x
  2. Step 2: Convert to fraction form
    197,205/431,727 = 431,727/x
  3. Step 3: Cross multiply
    197,205x = 431,727 × 431,727
  4. Step 4: Simplify right side
    197,205x = 186,388,202,529
  5. Step 5: Solve for x
    x = 186,388,202,529/197,205
  6. Step 6: Final answer
    x = 945,149.48

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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.