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Finding the Third Proportional to 172,092.09 and 364,697.44

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Solution

The third proportional to 172,092.09 and 364,697.44 is: 772,866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,092.09 : 364,697.44 = 364,697.44 : x
  2. Step 2: Convert to fraction form
    172,092.09/364,697.44 = 364,697.44/x
  3. Step 3: Cross multiply
    172,092.09x = 364,697.44 × 364,697.44
  4. Step 4: Simplify right side
    172,092.09x = 133,004,220,919.07
  5. Step 5: Solve for x
    x = 133,004,220,919.07/172,092.09
  6. Step 6: Final answer
    x = 772,866.54

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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.