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Finding the Third Proportional to 196,944 and 297,744

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Solution

The third proportional to 196,944 and 297,744 is: 450,135.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,944 : 297,744 = 297,744 : x
  2. Step 2: Convert to fraction form
    196,944/297,744 = 297,744/x
  3. Step 3: Cross multiply
    196,944x = 297,744 × 297,744
  4. Step 4: Simplify right side
    196,944x = 88,651,489,536
  5. Step 5: Solve for x
    x = 88,651,489,536/196,944
  6. Step 6: Final answer
    x = 450,135.52

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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.