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Finding the Third Proportional to 192,814 and 296,551

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Solution

The third proportional to 192,814 and 296,551 is: 456,100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,814 : 296,551 = 296,551 : x
  2. Step 2: Convert to fraction form
    192,814/296,551 = 296,551/x
  3. Step 3: Cross multiply
    192,814x = 296,551 × 296,551
  4. Step 4: Simplify right side
    192,814x = 87,942,495,601
  5. Step 5: Solve for x
    x = 87,942,495,601/192,814
  6. Step 6: Final answer
    x = 456,100.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.