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Finding the Third Proportional to 196,828 and 295,192

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Solution

The third proportional to 196,828 and 295,192 is: 442,713.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,828 : 295,192 = 295,192 : x
  2. Step 2: Convert to fraction form
    196,828/295,192 = 295,192/x
  3. Step 3: Cross multiply
    196,828x = 295,192 × 295,192
  4. Step 4: Simplify right side
    196,828x = 87,138,316,864
  5. Step 5: Solve for x
    x = 87,138,316,864/196,828
  6. Step 6: Final answer
    x = 442,713.01

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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.