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Finding the Third Proportional to 169,472.25 and 224,912.53

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Solution

The third proportional to 169,472.25 and 224,912.53 is: 298,489.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,472.25 : 224,912.53 = 224,912.53 : x
  2. Step 2: Convert to fraction form
    169,472.25/224,912.53 = 224,912.53/x
  3. Step 3: Cross multiply
    169,472.25x = 224,912.53 × 224,912.53
  4. Step 4: Simplify right side
    169,472.25x = 50,585,646,713.28
  5. Step 5: Solve for x
    x = 50,585,646,713.28/169,472.25
  6. Step 6: Final answer
    x = 298,489.26

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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.