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Finding the Third Proportional to 172,218 and 364,923

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Solution

The third proportional to 172,218 and 364,923 is: 773,257.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,218 : 364,923 = 364,923 : x
  2. Step 2: Convert to fraction form
    172,218/364,923 = 364,923/x
  3. Step 3: Cross multiply
    172,218x = 364,923 × 364,923
  4. Step 4: Simplify right side
    172,218x = 133,168,795,929
  5. Step 5: Solve for x
    x = 133,168,795,929/172,218
  6. Step 6: Final answer
    x = 773,257.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.