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Finding the Third Proportional to 192,452.63 and 277,219.50

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Solution

The third proportional to 192,452.63 and 277,219.50 is: 399,322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,452.63 : 277,219.50 = 277,219.50 : x
  2. Step 2: Convert to fraction form
    192,452.63/277,219.50 = 277,219.50/x
  3. Step 3: Cross multiply
    192,452.63x = 277,219.50 × 277,219.50
  4. Step 4: Simplify right side
    192,452.63x = 76,850,651,180.25
  5. Step 5: Solve for x
    x = 76,850,651,180.25/192,452.63
  6. Step 6: Final answer
    x = 399,322.44

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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.