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Finding the Third Proportional to 197,974 and 431,682

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Solution

The third proportional to 197,974 and 431,682 is: 941,281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,974 : 431,682 = 431,682 : x
  2. Step 2: Convert to fraction form
    197,974/431,682 = 431,682/x
  3. Step 3: Cross multiply
    197,974x = 431,682 × 431,682
  4. Step 4: Simplify right side
    197,974x = 186,349,349,124
  5. Step 5: Solve for x
    x = 186,349,349,124/197,974
  6. Step 6: Final answer
    x = 941,281.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.