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Finding the Third Proportional to 223,872 and 347,148

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Solution

The third proportional to 223,872 and 347,148 is: 538,306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,872 : 347,148 = 347,148 : x
  2. Step 2: Convert to fraction form
    223,872/347,148 = 347,148/x
  3. Step 3: Cross multiply
    223,872x = 347,148 × 347,148
  4. Step 4: Simplify right side
    223,872x = 120,511,733,904
  5. Step 5: Solve for x
    x = 120,511,733,904/223,872
  6. Step 6: Final answer
    x = 538,306.42

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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.