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Finding the Third Proportional to 192,455 and 277,224

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Solution

The third proportional to 192,455 and 277,224 is: 399,330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,455 : 277,224 = 277,224 : x
  2. Step 2: Convert to fraction form
    192,455/277,224 = 277,224/x
  3. Step 3: Cross multiply
    192,455x = 277,224 × 277,224
  4. Step 4: Simplify right side
    192,455x = 76,853,146,176
  5. Step 5: Solve for x
    x = 76,853,146,176/192,455
  6. Step 6: Final answer
    x = 399,330.47

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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.