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Finding the Third Proportional to 172,216 and 364,919

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Solution

The third proportional to 172,216 and 364,919 is: 773,249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,216 : 364,919 = 364,919 : x
  2. Step 2: Convert to fraction form
    172,216/364,919 = 364,919/x
  3. Step 3: Cross multiply
    172,216x = 364,919 × 364,919
  4. Step 4: Simplify right side
    172,216x = 133,165,876,561
  5. Step 5: Solve for x
    x = 133,165,876,561/172,216
  6. Step 6: Final answer
    x = 773,249.16

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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.