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Finding the Third Proportional to 192,223.50 and 449,120

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Solution

The third proportional to 192,223.50 and 449,120 is: 1,049,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,223.50 : 449,120 = 449,120 : x
  2. Step 2: Convert to fraction form
    192,223.50/449,120 = 449,120/x
  3. Step 3: Cross multiply
    192,223.50x = 449,120 × 449,120
  4. Step 4: Simplify right side
    192,223.50x = 201,708,774,400
  5. Step 5: Solve for x
    x = 201,708,774,400/192,223.50
  6. Step 6: Final answer
    x = 1,049,345.03

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.