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Finding the Third Proportional to 168,002 and 224,163

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Solution

The third proportional to 168,002 and 224,163 is: 299,097.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,002 : 224,163 = 224,163 : x
  2. Step 2: Convert to fraction form
    168,002/224,163 = 224,163/x
  3. Step 3: Cross multiply
    168,002x = 224,163 × 224,163
  4. Step 4: Simplify right side
    168,002x = 50,249,050,569
  5. Step 5: Solve for x
    x = 50,249,050,569/168,002
  6. Step 6: Final answer
    x = 299,097.93

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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.