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Finding the Third Proportional to 103,426 and 223,469

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Solution

The third proportional to 103,426 and 223,469 is: 482,841.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,426 : 223,469 = 223,469 : x
  2. Step 2: Convert to fraction form
    103,426/223,469 = 223,469/x
  3. Step 3: Cross multiply
    103,426x = 223,469 × 223,469
  4. Step 4: Simplify right side
    103,426x = 49,938,393,961
  5. Step 5: Solve for x
    x = 49,938,393,961/103,426
  6. Step 6: Final answer
    x = 482,841.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.