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Finding the Third Proportional to 169,223 and 224,628

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Solution

The third proportional to 169,223 and 224,628 is: 298,173.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,223 : 224,628 = 224,628 : x
  2. Step 2: Convert to fraction form
    169,223/224,628 = 224,628/x
  3. Step 3: Cross multiply
    169,223x = 224,628 × 224,628
  4. Step 4: Simplify right side
    169,223x = 50,457,738,384
  5. Step 5: Solve for x
    x = 50,457,738,384/169,223
  6. Step 6: Final answer
    x = 298,173.05

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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.