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Finding the Third Proportional to 104,463 and 223,677

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Solution

The third proportional to 104,463 and 223,677 is: 478,938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,463 : 223,677 = 223,677 : x
  2. Step 2: Convert to fraction form
    104,463/223,677 = 223,677/x
  3. Step 3: Cross multiply
    104,463x = 223,677 × 223,677
  4. Step 4: Simplify right side
    104,463x = 50,031,400,329
  5. Step 5: Solve for x
    x = 50,031,400,329/104,463
  6. Step 6: Final answer
    x = 478,938.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.