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Finding the Third Proportional to 144,406 and 223,165

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Solution

The third proportional to 144,406 and 223,165 is: 344,879.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,406 : 223,165 = 223,165 : x
  2. Step 2: Convert to fraction form
    144,406/223,165 = 223,165/x
  3. Step 3: Cross multiply
    144,406x = 223,165 × 223,165
  4. Step 4: Simplify right side
    144,406x = 49,802,617,225
  5. Step 5: Solve for x
    x = 49,802,617,225/144,406
  6. Step 6: Final answer
    x = 344,879.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.