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Finding the Third Proportional to 181,376 and 397,760

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Solution

The third proportional to 181,376 and 397,760 is: 872,293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,376 : 397,760 = 397,760 : x
  2. Step 2: Convert to fraction form
    181,376/397,760 = 397,760/x
  3. Step 3: Cross multiply
    181,376x = 397,760 × 397,760
  4. Step 4: Simplify right side
    181,376x = 158,213,017,600
  5. Step 5: Solve for x
    x = 158,213,017,600/181,376
  6. Step 6: Final answer
    x = 872,293.01

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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.