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Finding the Third Proportional to 144,424 and 223,192

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Solution

The third proportional to 144,424 and 223,192 is: 344,919.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,424 : 223,192 = 223,192 : x
  2. Step 2: Convert to fraction form
    144,424/223,192 = 223,192/x
  3. Step 3: Cross multiply
    144,424x = 223,192 × 223,192
  4. Step 4: Simplify right side
    144,424x = 49,814,668,864
  5. Step 5: Solve for x
    x = 49,814,668,864/144,424
  6. Step 6: Final answer
    x = 344,919.60

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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.