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Finding the Third Proportional to 223,821 and 347,077

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Solution

The third proportional to 223,821 and 347,077 is: 538,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,821 : 347,077 = 347,077 : x
  2. Step 2: Convert to fraction form
    223,821/347,077 = 347,077/x
  3. Step 3: Cross multiply
    223,821x = 347,077 × 347,077
  4. Step 4: Simplify right side
    223,821x = 120,462,443,929
  5. Step 5: Solve for x
    x = 120,462,443,929/223,821
  6. Step 6: Final answer
    x = 538,208.85

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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.