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Finding the Third Proportional to 190,348 and 267,815

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Solution

The third proportional to 190,348 and 267,815 is: 376,809.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,348 : 267,815 = 267,815 : x
  2. Step 2: Convert to fraction form
    190,348/267,815 = 267,815/x
  3. Step 3: Cross multiply
    190,348x = 267,815 × 267,815
  4. Step 4: Simplify right side
    190,348x = 71,724,874,225
  5. Step 5: Solve for x
    x = 71,724,874,225/190,348
  6. Step 6: Final answer
    x = 376,809.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.