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Finding the Third Proportional to 168,364 and 371,720

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Solution

The third proportional to 168,364 and 371,720 is: 820,696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,364 : 371,720 = 371,720 : x
  2. Step 2: Convert to fraction form
    168,364/371,720 = 371,720/x
  3. Step 3: Cross multiply
    168,364x = 371,720 × 371,720
  4. Step 4: Simplify right side
    168,364x = 138,175,758,400
  5. Step 5: Solve for x
    x = 138,175,758,400/168,364
  6. Step 6: Final answer
    x = 820,696.58

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.