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Finding the Third Proportional to 103,638 and 224,773

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Solution

The third proportional to 103,638 and 224,773 is: 487,493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,638 : 224,773 = 224,773 : x
  2. Step 2: Convert to fraction form
    103,638/224,773 = 224,773/x
  3. Step 3: Cross multiply
    103,638x = 224,773 × 224,773
  4. Step 4: Simplify right side
    103,638x = 50,522,901,529
  5. Step 5: Solve for x
    x = 50,522,901,529/103,638
  6. Step 6: Final answer
    x = 487,493.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.