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Finding the Third Proportional to 196,027 and 293,257

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Solution

The third proportional to 196,027 and 293,257 is: 438,713.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,027 : 293,257 = 293,257 : x
  2. Step 2: Convert to fraction form
    196,027/293,257 = 293,257/x
  3. Step 3: Cross multiply
    196,027x = 293,257 × 293,257
  4. Step 4: Simplify right side
    196,027x = 85,999,668,049
  5. Step 5: Solve for x
    x = 85,999,668,049/196,027
  6. Step 6: Final answer
    x = 438,713.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.