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Finding the Third Proportional to 192,453.50 and 277,222.50

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Solution

The third proportional to 192,453.50 and 277,222.50 is: 399,329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,453.50 : 277,222.50 = 277,222.50 : x
  2. Step 2: Convert to fraction form
    192,453.50/277,222.50 = 277,222.50/x
  3. Step 3: Cross multiply
    192,453.50x = 277,222.50 × 277,222.50
  4. Step 4: Simplify right side
    192,453.50x = 76,852,314,506.25
  5. Step 5: Solve for x
    x = 76,852,314,506.25/192,453.50
  6. Step 6: Final answer
    x = 399,329.26

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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.