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Finding the Third Proportional to 171,912.38 and 365,968.13

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Solution

The third proportional to 171,912.38 and 365,968.13 is: 779,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,912.38 : 365,968.13 = 365,968.13 : x
  2. Step 2: Convert to fraction form
    171,912.38/365,968.13 = 365,968.13/x
  3. Step 3: Cross multiply
    171,912.38x = 365,968.13 × 365,968.13
  4. Step 4: Simplify right side
    171,912.38x = 133,932,668,516.02
  5. Step 5: Solve for x
    x = 133,932,668,516.02/171,912.38
  6. Step 6: Final answer
    x = 779,075.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.