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Finding the Third Proportional to 133,255 and 284,825

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Solution

The third proportional to 133,255 and 284,825 is: 608,797.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,255 : 284,825 = 284,825 : x
  2. Step 2: Convert to fraction form
    133,255/284,825 = 284,825/x
  3. Step 3: Cross multiply
    133,255x = 284,825 × 284,825
  4. Step 4: Simplify right side
    133,255x = 81,125,280,625
  5. Step 5: Solve for x
    x = 81,125,280,625/133,255
  6. Step 6: Final answer
    x = 608,797.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.