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Finding the Third Proportional to 224,135 and 347,027

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Solution

The third proportional to 224,135 and 347,027 is: 537,300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,135 : 347,027 = 347,027 : x
  2. Step 2: Convert to fraction form
    224,135/347,027 = 347,027/x
  3. Step 3: Cross multiply
    224,135x = 347,027 × 347,027
  4. Step 4: Simplify right side
    224,135x = 120,427,738,729
  5. Step 5: Solve for x
    x = 120,427,738,729/224,135
  6. Step 6: Final answer
    x = 537,300.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.