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Finding the Third Proportional to 168,049 and 351,677

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Solution

The third proportional to 168,049 and 351,677 is: 735,956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,049 : 351,677 = 351,677 : x
  2. Step 2: Convert to fraction form
    168,049/351,677 = 351,677/x
  3. Step 3: Cross multiply
    168,049x = 351,677 × 351,677
  4. Step 4: Simplify right side
    168,049x = 123,676,712,329
  5. Step 5: Solve for x
    x = 123,676,712,329/168,049
  6. Step 6: Final answer
    x = 735,956.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.