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Finding the Third Proportional to 197,226 and 320,427

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Solution

The third proportional to 197,226 and 320,427 is: 520,587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,226 : 320,427 = 320,427 : x
  2. Step 2: Convert to fraction form
    197,226/320,427 = 320,427/x
  3. Step 3: Cross multiply
    197,226x = 320,427 × 320,427
  4. Step 4: Simplify right side
    197,226x = 102,673,462,329
  5. Step 5: Solve for x
    x = 102,673,462,329/197,226
  6. Step 6: Final answer
    x = 520,587.87

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.