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Finding the Third Proportional to 197,227 and 425,972

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Solution

The third proportional to 197,227 and 425,972 is: 920,016.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,227 : 425,972 = 425,972 : x
  2. Step 2: Convert to fraction form
    197,227/425,972 = 425,972/x
  3. Step 3: Cross multiply
    197,227x = 425,972 × 425,972
  4. Step 4: Simplify right side
    197,227x = 181,452,144,784
  5. Step 5: Solve for x
    x = 181,452,144,784/197,227
  6. Step 6: Final answer
    x = 920,016.76

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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.