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Finding the Third Proportional to 169,472 and 224,880

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Solution

The third proportional to 169,472 and 224,880 is: 298,403.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,472 : 224,880 = 224,880 : x
  2. Step 2: Convert to fraction form
    169,472/224,880 = 224,880/x
  3. Step 3: Cross multiply
    169,472x = 224,880 × 224,880
  4. Step 4: Simplify right side
    169,472x = 50,571,014,400
  5. Step 5: Solve for x
    x = 50,571,014,400/169,472
  6. Step 6: Final answer
    x = 298,403.36

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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.