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Finding the Third Proportional to 92,272 and 199,340

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Solution

The third proportional to 92,272 and 199,340 is: 430,644.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,272 : 199,340 = 199,340 : x
  2. Step 2: Convert to fraction form
    92,272/199,340 = 199,340/x
  3. Step 3: Cross multiply
    92,272x = 199,340 × 199,340
  4. Step 4: Simplify right side
    92,272x = 39,736,435,600
  5. Step 5: Solve for x
    x = 39,736,435,600/92,272
  6. Step 6: Final answer
    x = 430,644.57

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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.