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Finding the Third Proportional to 92,286 and 201,249

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Solution

The third proportional to 92,286 and 201,249 is: 438,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,286 : 201,249 = 201,249 : x
  2. Step 2: Convert to fraction form
    92,286/201,249 = 201,249/x
  3. Step 3: Cross multiply
    92,286x = 201,249 × 201,249
  4. Step 4: Simplify right side
    92,286x = 40,501,160,001
  5. Step 5: Solve for x
    x = 40,501,160,001/92,286
  6. Step 6: Final answer
    x = 438,865.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.