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Finding the Third Proportional to 133,636 and 288,006

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Solution

The third proportional to 133,636 and 288,006 is: 620,696.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,636 : 288,006 = 288,006 : x
  2. Step 2: Convert to fraction form
    133,636/288,006 = 288,006/x
  3. Step 3: Cross multiply
    133,636x = 288,006 × 288,006
  4. Step 4: Simplify right side
    133,636x = 82,947,456,036
  5. Step 5: Solve for x
    x = 82,947,456,036/133,636
  6. Step 6: Final answer
    x = 620,696.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.