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Finding the Third Proportional to 192,263.63 and 298,472.34

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Solution

The third proportional to 192,263.63 and 298,472.34 is: 463,352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,263.63 : 298,472.34 = 298,472.34 : x
  2. Step 2: Convert to fraction form
    192,263.63/298,472.34 = 298,472.34/x
  3. Step 3: Cross multiply
    192,263.63x = 298,472.34 × 298,472.34
  4. Step 4: Simplify right side
    192,263.63x = 89,085,739,983.62
  5. Step 5: Solve for x
    x = 89,085,739,983.62/192,263.63
  6. Step 6: Final answer
    x = 463,352.03

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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.