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Finding the Third Proportional to 172,212 and 364,911

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Solution

The third proportional to 172,212 and 364,911 is: 773,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,212 : 364,911 = 364,911 : x
  2. Step 2: Convert to fraction form
    172,212/364,911 = 364,911/x
  3. Step 3: Cross multiply
    172,212x = 364,911 × 364,911
  4. Step 4: Simplify right side
    172,212x = 133,160,037,921
  5. Step 5: Solve for x
    x = 133,160,037,921/172,212
  6. Step 6: Final answer
    x = 773,233.21

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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.