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Finding the Third Proportional to 197,226 and 425,970

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Solution

The third proportional to 197,226 and 425,970 is: 920,012.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,226 : 425,970 = 425,970 : x
  2. Step 2: Convert to fraction form
    197,226/425,970 = 425,970/x
  3. Step 3: Cross multiply
    197,226x = 425,970 × 425,970
  4. Step 4: Simplify right side
    197,226x = 181,450,440,900
  5. Step 5: Solve for x
    x = 181,450,440,900/197,226
  6. Step 6: Final answer
    x = 920,012.78

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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.