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Finding the Third Proportional to 171,996.75 and 364,807.13

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Solution

The third proportional to 171,996.75 and 364,807.13 is: 773,760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,996.75 : 364,807.13 = 364,807.13 : x
  2. Step 2: Convert to fraction form
    171,996.75/364,807.13 = 364,807.13/x
  3. Step 3: Cross multiply
    171,996.75x = 364,807.13 × 364,807.13
  4. Step 4: Simplify right side
    171,996.75x = 133,084,238,450.77
  5. Step 5: Solve for x
    x = 133,084,238,450.77/171,996.75
  6. Step 6: Final answer
    x = 773,760.19

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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.