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Finding the Third Proportional to 172,171.88 and 365,185.88

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Solution

The third proportional to 172,171.88 and 365,185.88 is: 774,579.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,171.88 : 365,185.88 = 365,185.88 : x
  2. Step 2: Convert to fraction form
    172,171.88/365,185.88 = 365,185.88/x
  3. Step 3: Cross multiply
    172,171.88x = 365,185.88 × 365,185.88
  4. Step 4: Simplify right side
    172,171.88x = 133,360,723,299.52
  5. Step 5: Solve for x
    x = 133,360,723,299.52/172,171.88
  6. Step 6: Final answer
    x = 774,579.03

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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.