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Finding the Third Proportional to 172,016 and 364,929

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Solution

The third proportional to 172,016 and 364,929 is: 774,190.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,016 : 364,929 = 364,929 : x
  2. Step 2: Convert to fraction form
    172,016/364,929 = 364,929/x
  3. Step 3: Cross multiply
    172,016x = 364,929 × 364,929
  4. Step 4: Simplify right side
    172,016x = 133,173,175,041
  5. Step 5: Solve for x
    x = 133,173,175,041/172,016
  6. Step 6: Final answer
    x = 774,190.63

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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.