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Finding the Third Proportional to 168,412 and 371,960

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Solution

The third proportional to 168,412 and 371,960 is: 821,522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,412 : 371,960 = 371,960 : x
  2. Step 2: Convert to fraction form
    168,412/371,960 = 371,960/x
  3. Step 3: Cross multiply
    168,412x = 371,960 × 371,960
  4. Step 4: Simplify right side
    168,412x = 138,354,241,600
  5. Step 5: Solve for x
    x = 138,354,241,600/168,412
  6. Step 6: Final answer
    x = 821,522.47

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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.