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Finding the Third Proportional to 192,540 and 297,558

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Solution

The third proportional to 192,540 and 297,558 is: 459,856.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,540 : 297,558 = 297,558 : x
  2. Step 2: Convert to fraction form
    192,540/297,558 = 297,558/x
  3. Step 3: Cross multiply
    192,540x = 297,558 × 297,558
  4. Step 4: Simplify right side
    192,540x = 88,540,763,364
  5. Step 5: Solve for x
    x = 88,540,763,364/192,540
  6. Step 6: Final answer
    x = 459,856.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.