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Finding the Third Proportional to 92,828 and 196,240

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Solution

The third proportional to 92,828 and 196,240 is: 414,854.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,828 : 196,240 = 196,240 : x
  2. Step 2: Convert to fraction form
    92,828/196,240 = 196,240/x
  3. Step 3: Cross multiply
    92,828x = 196,240 × 196,240
  4. Step 4: Simplify right side
    92,828x = 38,510,137,600
  5. Step 5: Solve for x
    x = 38,510,137,600/92,828
  6. Step 6: Final answer
    x = 414,854.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.