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Finding the Third Proportional to 197,031 and 427,086

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Solution

The third proportional to 197,031 and 427,086 is: 925,755.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,031 : 427,086 = 427,086 : x
  2. Step 2: Convert to fraction form
    197,031/427,086 = 427,086/x
  3. Step 3: Cross multiply
    197,031x = 427,086 × 427,086
  4. Step 4: Simplify right side
    197,031x = 182,402,451,396
  5. Step 5: Solve for x
    x = 182,402,451,396/197,031
  6. Step 6: Final answer
    x = 925,755.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.