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Finding the Third Proportional to 92,424 and 199,266

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Solution

The third proportional to 92,424 and 199,266 is: 429,617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,424 : 199,266 = 199,266 : x
  2. Step 2: Convert to fraction form
    92,424/199,266 = 199,266/x
  3. Step 3: Cross multiply
    92,424x = 199,266 × 199,266
  4. Step 4: Simplify right side
    92,424x = 39,706,938,756
  5. Step 5: Solve for x
    x = 39,706,938,756/92,424
  6. Step 6: Final answer
    x = 429,617.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.