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Finding the Third Proportional to 197,198 and 431,714

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Solution

The third proportional to 197,198 and 431,714 is: 945,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,198 : 431,714 = 431,714 : x
  2. Step 2: Convert to fraction form
    197,198/431,714 = 431,714/x
  3. Step 3: Cross multiply
    197,198x = 431,714 × 431,714
  4. Step 4: Simplify right side
    197,198x = 186,376,977,796
  5. Step 5: Solve for x
    x = 186,376,977,796/197,198
  6. Step 6: Final answer
    x = 945,126.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.