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Finding the Third Proportional to 197,233 and 426,007

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Solution

The third proportional to 197,233 and 426,007 is: 920,139.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,233 : 426,007 = 426,007 : x
  2. Step 2: Convert to fraction form
    197,233/426,007 = 426,007/x
  3. Step 3: Cross multiply
    197,233x = 426,007 × 426,007
  4. Step 4: Simplify right side
    197,233x = 181,481,964,049
  5. Step 5: Solve for x
    x = 181,481,964,049/197,233
  6. Step 6: Final answer
    x = 920,139.96

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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.