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Finding the Third Proportional to 192,520.34 and 299,280.45

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Solution

The third proportional to 192,520.34 and 299,280.45 is: 465,243.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,520.34 : 299,280.45 = 299,280.45 : x
  2. Step 2: Convert to fraction form
    192,520.34/299,280.45 = 299,280.45/x
  3. Step 3: Cross multiply
    192,520.34x = 299,280.45 × 299,280.45
  4. Step 4: Simplify right side
    192,520.34x = 89,568,784,946.45
  5. Step 5: Solve for x
    x = 89,568,784,946.45/192,520.34
  6. Step 6: Final answer
    x = 465,243.24

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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.