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Finding the Third Proportional to 192,086 and 277,506.50

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Solution

The third proportional to 192,086 and 277,506.50 is: 400,913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,086 : 277,506.50 = 277,506.50 : x
  2. Step 2: Convert to fraction form
    192,086/277,506.50 = 277,506.50/x
  3. Step 3: Cross multiply
    192,086x = 277,506.50 × 277,506.50
  4. Step 4: Simplify right side
    192,086x = 77,009,857,542.25
  5. Step 5: Solve for x
    x = 77,009,857,542.25/192,086
  6. Step 6: Final answer
    x = 400,913.43

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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.