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Finding the Third Proportional to 197,228 and 425,974

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Solution

The third proportional to 197,228 and 425,974 is: 920,020.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,228 : 425,974 = 425,974 : x
  2. Step 2: Convert to fraction form
    197,228/425,974 = 425,974/x
  3. Step 3: Cross multiply
    197,228x = 425,974 × 425,974
  4. Step 4: Simplify right side
    197,228x = 181,453,848,676
  5. Step 5: Solve for x
    x = 181,453,848,676/197,228
  6. Step 6: Final answer
    x = 920,020.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.