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Finding the Third Proportional to 110,677 and 224,648

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Solution

The third proportional to 110,677 and 224,648 is: 455,982.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,677 : 224,648 = 224,648 : x
  2. Step 2: Convert to fraction form
    110,677/224,648 = 224,648/x
  3. Step 3: Cross multiply
    110,677x = 224,648 × 224,648
  4. Step 4: Simplify right side
    110,677x = 50,466,723,904
  5. Step 5: Solve for x
    x = 50,466,723,904/110,677
  6. Step 6: Final answer
    x = 455,982.04

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.