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Finding the Third Proportional to 196,754 and 297,471

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Solution

The third proportional to 196,754 and 297,471 is: 449,744.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,754 : 297,471 = 297,471 : x
  2. Step 2: Convert to fraction form
    196,754/297,471 = 297,471/x
  3. Step 3: Cross multiply
    196,754x = 297,471 × 297,471
  4. Step 4: Simplify right side
    196,754x = 88,488,995,841
  5. Step 5: Solve for x
    x = 88,488,995,841/196,754
  6. Step 6: Final answer
    x = 449,744.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.