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Finding the Third Proportional to 168,914 and 364,892

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Solution

The third proportional to 168,914 and 364,892 is: 788,248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,914 : 364,892 = 364,892 : x
  2. Step 2: Convert to fraction form
    168,914/364,892 = 364,892/x
  3. Step 3: Cross multiply
    168,914x = 364,892 × 364,892
  4. Step 4: Simplify right side
    168,914x = 133,146,171,664
  5. Step 5: Solve for x
    x = 133,146,171,664/168,914
  6. Step 6: Final answer
    x = 788,248.29

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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.