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Finding the Third Proportional to 92,278 and 201,231

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Solution

The third proportional to 92,278 and 201,231 is: 438,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,278 : 201,231 = 201,231 : x
  2. Step 2: Convert to fraction form
    92,278/201,231 = 201,231/x
  3. Step 3: Cross multiply
    92,278x = 201,231 × 201,231
  4. Step 4: Simplify right side
    92,278x = 40,493,915,361
  5. Step 5: Solve for x
    x = 40,493,915,361/92,278
  6. Step 6: Final answer
    x = 438,825.24

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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.