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Finding the Third Proportional to 172,216.50 and 364,920

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Solution

The third proportional to 172,216.50 and 364,920 is: 773,251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,216.50 : 364,920 = 364,920 : x
  2. Step 2: Convert to fraction form
    172,216.50/364,920 = 364,920/x
  3. Step 3: Cross multiply
    172,216.50x = 364,920 × 364,920
  4. Step 4: Simplify right side
    172,216.50x = 133,166,606,400
  5. Step 5: Solve for x
    x = 133,166,606,400/172,216.50
  6. Step 6: Final answer
    x = 773,251.15

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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.