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Finding the Third Proportional to 103,998 and 224,602

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Solution

The third proportional to 103,998 and 224,602 is: 485,067.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,998 : 224,602 = 224,602 : x
  2. Step 2: Convert to fraction form
    103,998/224,602 = 224,602/x
  3. Step 3: Cross multiply
    103,998x = 224,602 × 224,602
  4. Step 4: Simplify right side
    103,998x = 50,446,058,404
  5. Step 5: Solve for x
    x = 50,446,058,404/103,998
  6. Step 6: Final answer
    x = 485,067.58

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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.