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Finding the Third Proportional to 133,093 and 288,647

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Solution

The third proportional to 133,093 and 288,647 is: 626,006.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,093 : 288,647 = 288,647 : x
  2. Step 2: Convert to fraction form
    133,093/288,647 = 288,647/x
  3. Step 3: Cross multiply
    133,093x = 288,647 × 288,647
  4. Step 4: Simplify right side
    133,093x = 83,317,090,609
  5. Step 5: Solve for x
    x = 83,317,090,609/133,093
  6. Step 6: Final answer
    x = 626,006.56

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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.