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Finding the Third Proportional to 239,636 and 363,828

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Solution

The third proportional to 239,636 and 363,828 is: 552,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,636 : 363,828 = 363,828 : x
  2. Step 2: Convert to fraction form
    239,636/363,828 = 363,828/x
  3. Step 3: Cross multiply
    239,636x = 363,828 × 363,828
  4. Step 4: Simplify right side
    239,636x = 132,370,813,584
  5. Step 5: Solve for x
    x = 132,370,813,584/239,636
  6. Step 6: Final answer
    x = 552,382.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.