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Finding the Third Proportional to 168,350 and 371,692

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Solution

The third proportional to 168,350 and 371,692 is: 820,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,350 : 371,692 = 371,692 : x
  2. Step 2: Convert to fraction form
    168,350/371,692 = 371,692/x
  3. Step 3: Cross multiply
    168,350x = 371,692 × 371,692
  4. Step 4: Simplify right side
    168,350x = 138,154,942,864
  5. Step 5: Solve for x
    x = 138,154,942,864/168,350
  6. Step 6: Final answer
    x = 820,641.18

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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.