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Finding the Third Proportional to 169,224 and 224,629.50

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Solution

The third proportional to 169,224 and 224,629.50 is: 298,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,224 : 224,629.50 = 224,629.50 : x
  2. Step 2: Convert to fraction form
    169,224/224,629.50 = 224,629.50/x
  3. Step 3: Cross multiply
    169,224x = 224,629.50 × 224,629.50
  4. Step 4: Simplify right side
    169,224x = 50,458,412,270.25
  5. Step 5: Solve for x
    x = 50,458,412,270.25/169,224
  6. Step 6: Final answer
    x = 298,175.27

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.