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Finding the Third Proportional to 172,179 and 365,198.63

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Solution

The third proportional to 172,179 and 365,198.63 is: 774,601.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,179 : 365,198.63 = 365,198.63 : x
  2. Step 2: Convert to fraction form
    172,179/365,198.63 = 365,198.63/x
  3. Step 3: Cross multiply
    172,179x = 365,198.63 × 365,198.63
  4. Step 4: Simplify right side
    172,179x = 133,370,035,701.89
  5. Step 5: Solve for x
    x = 133,370,035,701.89/172,179
  6. Step 6: Final answer
    x = 774,601.06

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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.