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Finding the Third Proportional to 192,002.63 and 412,984.13

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Solution

The third proportional to 192,002.63 and 412,984.13 is: 888,299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,002.63 : 412,984.13 = 412,984.13 : x
  2. Step 2: Convert to fraction form
    192,002.63/412,984.13 = 412,984.13/x
  3. Step 3: Cross multiply
    192,002.63x = 412,984.13 × 412,984.13
  4. Step 4: Simplify right side
    192,002.63x = 170,555,887,502.02
  5. Step 5: Solve for x
    x = 170,555,887,502.02/192,002.63
  6. Step 6: Final answer
    x = 888,299.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.