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Finding the Third Proportional to 106,277 and 224,550

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Solution

The third proportional to 106,277 and 224,550 is: 474,446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,277 : 224,550 = 224,550 : x
  2. Step 2: Convert to fraction form
    106,277/224,550 = 224,550/x
  3. Step 3: Cross multiply
    106,277x = 224,550 × 224,550
  4. Step 4: Simplify right side
    106,277x = 50,422,702,500
  5. Step 5: Solve for x
    x = 50,422,702,500/106,277
  6. Step 6: Final answer
    x = 474,446.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.