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Finding the Third Proportional to 195,992 and 293,448

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Solution

The third proportional to 195,992 and 293,448 is: 439,363.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,992 : 293,448 = 293,448 : x
  2. Step 2: Convert to fraction form
    195,992/293,448 = 293,448/x
  3. Step 3: Cross multiply
    195,992x = 293,448 × 293,448
  4. Step 4: Simplify right side
    195,992x = 86,111,728,704
  5. Step 5: Solve for x
    x = 86,111,728,704/195,992
  6. Step 6: Final answer
    x = 439,363.49

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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.