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Finding the Third Proportional to 181,293.19 and 397,441.69

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Solution

The third proportional to 181,293.19 and 397,441.69 is: 871,295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,293.19 : 397,441.69 = 397,441.69 : x
  2. Step 2: Convert to fraction form
    181,293.19/397,441.69 = 397,441.69/x
  3. Step 3: Cross multiply
    181,293.19x = 397,441.69 × 397,441.69
  4. Step 4: Simplify right side
    181,293.19x = 157,959,894,962.85
  5. Step 5: Solve for x
    x = 157,959,894,962.85/181,293.19
  6. Step 6: Final answer
    x = 871,295.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.