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Finding the Third Proportional to 196,944 and 431,634

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Solution

The third proportional to 196,944 and 431,634 is: 945,994.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,944 : 431,634 = 431,634 : x
  2. Step 2: Convert to fraction form
    196,944/431,634 = 431,634/x
  3. Step 3: Cross multiply
    196,944x = 431,634 × 431,634
  4. Step 4: Simplify right side
    196,944x = 186,307,909,956
  5. Step 5: Solve for x
    x = 186,307,909,956/196,944
  6. Step 6: Final answer
    x = 945,994.34

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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.