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Finding the Third Proportional to 194,736 and 292,104

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Solution

The third proportional to 194,736 and 292,104 is: 438,156

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,736 : 292,104 = 292,104 : x
  2. Step 2: Convert to fraction form
    194,736/292,104 = 292,104/x
  3. Step 3: Cross multiply
    194,736x = 292,104 × 292,104
  4. Step 4: Simplify right side
    194,736x = 85,324,746,816
  5. Step 5: Solve for x
    x = 85,324,746,816/194,736
  6. Step 6: Final answer
    x = 438,156

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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.