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Finding the Third Proportional to 168,792 and 363,828

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Solution

The third proportional to 168,792 and 363,828 is: 784,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,792 : 363,828 = 363,828 : x
  2. Step 2: Convert to fraction form
    168,792/363,828 = 363,828/x
  3. Step 3: Cross multiply
    168,792x = 363,828 × 363,828
  4. Step 4: Simplify right side
    168,792x = 132,370,813,584
  5. Step 5: Solve for x
    x = 132,370,813,584/168,792
  6. Step 6: Final answer
    x = 784,224.45

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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.