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Finding the Third Proportional to 172,388.25 and 365,299.88

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Solution

The third proportional to 172,388.25 and 365,299.88 is: 774,089.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,388.25 : 365,299.88 = 365,299.88 : x
  2. Step 2: Convert to fraction form
    172,388.25/365,299.88 = 365,299.88/x
  3. Step 3: Cross multiply
    172,388.25x = 365,299.88 × 365,299.88
  4. Step 4: Simplify right side
    172,388.25x = 133,443,998,675.02
  5. Step 5: Solve for x
    x = 133,443,998,675.02/172,388.25
  6. Step 6: Final answer
    x = 774,089.87

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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.