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Finding the Third Proportional to 192,091.50 and 277,516.13

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Solution

The third proportional to 192,091.50 and 277,516.13 is: 400,929.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,091.50 : 277,516.13 = 277,516.13 : x
  2. Step 2: Convert to fraction form
    192,091.50/277,516.13 = 277,516.13/x
  3. Step 3: Cross multiply
    192,091.50x = 277,516.13 × 277,516.13
  4. Step 4: Simplify right side
    192,091.50x = 77,015,199,635.02
  5. Step 5: Solve for x
    x = 77,015,199,635.02/192,091.50
  6. Step 6: Final answer
    x = 400,929.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.