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Finding the Third Proportional to 103,704 and 223,174

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Solution

The third proportional to 103,704 and 223,174 is: 480,276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,704 : 223,174 = 223,174 : x
  2. Step 2: Convert to fraction form
    103,704/223,174 = 223,174/x
  3. Step 3: Cross multiply
    103,704x = 223,174 × 223,174
  4. Step 4: Simplify right side
    103,704x = 49,806,634,276
  5. Step 5: Solve for x
    x = 49,806,634,276/103,704
  6. Step 6: Final answer
    x = 480,276.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.