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Finding the Third Proportional to 136,764 and 284,400

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Solution

The third proportional to 136,764 and 284,400 is: 591,408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,764 : 284,400 = 284,400 : x
  2. Step 2: Convert to fraction form
    136,764/284,400 = 284,400/x
  3. Step 3: Cross multiply
    136,764x = 284,400 × 284,400
  4. Step 4: Simplify right side
    136,764x = 80,883,360,000
  5. Step 5: Solve for x
    x = 80,883,360,000/136,764
  6. Step 6: Final answer
    x = 591,408.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.