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Finding the Third Proportional to 192,756 and 296,640

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Solution

The third proportional to 192,756 and 296,640 is: 456,511.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,756 : 296,640 = 296,640 : x
  2. Step 2: Convert to fraction form
    192,756/296,640 = 296,640/x
  3. Step 3: Cross multiply
    192,756x = 296,640 × 296,640
  4. Step 4: Simplify right side
    192,756x = 87,995,289,600
  5. Step 5: Solve for x
    x = 87,995,289,600/192,756
  6. Step 6: Final answer
    x = 456,511.29

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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.