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Finding the Third Proportional to 167,624 and 223,788

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Solution

The third proportional to 167,624 and 223,788 is: 298,770.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,624 : 223,788 = 223,788 : x
  2. Step 2: Convert to fraction form
    167,624/223,788 = 223,788/x
  3. Step 3: Cross multiply
    167,624x = 223,788 × 223,788
  4. Step 4: Simplify right side
    167,624x = 50,081,068,944
  5. Step 5: Solve for x
    x = 50,081,068,944/167,624
  6. Step 6: Final answer
    x = 298,770.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.