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Finding the Third Proportional to 133,048 and 288,227

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Solution

The third proportional to 133,048 and 288,227 is: 624,397.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,048 : 288,227 = 288,227 : x
  2. Step 2: Convert to fraction form
    133,048/288,227 = 288,227/x
  3. Step 3: Cross multiply
    133,048x = 288,227 × 288,227
  4. Step 4: Simplify right side
    133,048x = 83,074,803,529
  5. Step 5: Solve for x
    x = 83,074,803,529/133,048
  6. Step 6: Final answer
    x = 624,397.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.