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Finding the Third Proportional to 196,132 and 293,934

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Solution

The third proportional to 196,132 and 293,934 is: 440,505.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,132 : 293,934 = 293,934 : x
  2. Step 2: Convert to fraction form
    196,132/293,934 = 293,934/x
  3. Step 3: Cross multiply
    196,132x = 293,934 × 293,934
  4. Step 4: Simplify right side
    196,132x = 86,397,196,356
  5. Step 5: Solve for x
    x = 86,397,196,356/196,132
  6. Step 6: Final answer
    x = 440,505.36

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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.