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Finding the Third Proportional to 195,104 and 291,824

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Solution

The third proportional to 195,104 and 291,824 is: 436,491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,104 : 291,824 = 291,824 : x
  2. Step 2: Convert to fraction form
    195,104/291,824 = 291,824/x
  3. Step 3: Cross multiply
    195,104x = 291,824 × 291,824
  4. Step 4: Simplify right side
    195,104x = 85,161,246,976
  5. Step 5: Solve for x
    x = 85,161,246,976/195,104
  6. Step 6: Final answer
    x = 436,491.55

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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.