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Finding the Third Proportional to 161,142.75 and 339,933.38

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Solution

The third proportional to 161,142.75 and 339,933.38 is: 717,095.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,142.75 : 339,933.38 = 339,933.38 : x
  2. Step 2: Convert to fraction form
    161,142.75/339,933.38 = 339,933.38/x
  3. Step 3: Cross multiply
    161,142.75x = 339,933.38 × 339,933.38
  4. Step 4: Simplify right side
    161,142.75x = 115,554,699,438.89
  5. Step 5: Solve for x
    x = 115,554,699,438.89/161,142.75
  6. Step 6: Final answer
    x = 717,095.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.