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Finding the Third Proportional to 192,818 and 296,558

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Solution

The third proportional to 192,818 and 296,558 is: 456,112.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,818 : 296,558 = 296,558 : x
  2. Step 2: Convert to fraction form
    192,818/296,558 = 296,558/x
  3. Step 3: Cross multiply
    192,818x = 296,558 × 296,558
  4. Step 4: Simplify right side
    192,818x = 87,946,647,364
  5. Step 5: Solve for x
    x = 87,946,647,364/192,818
  6. Step 6: Final answer
    x = 456,112.23

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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.