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Finding the Third Proportional to 226,843.50 and 273,256.50

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Solution

The third proportional to 226,843.50 and 273,256.50 is: 329,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,843.50 : 273,256.50 = 273,256.50 : x
  2. Step 2: Convert to fraction form
    226,843.50/273,256.50 = 273,256.50/x
  3. Step 3: Cross multiply
    226,843.50x = 273,256.50 × 273,256.50
  4. Step 4: Simplify right side
    226,843.50x = 74,669,114,792.25
  5. Step 5: Solve for x
    x = 74,669,114,792.25/226,843.50
  6. Step 6: Final answer
    x = 329,165.77

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.