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Finding the Third Proportional to 181,410.50 and 397,342.50

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Solution

The third proportional to 181,410.50 and 397,342.50 is: 870,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,410.50 : 397,342.50 = 397,342.50 : x
  2. Step 2: Convert to fraction form
    181,410.50/397,342.50 = 397,342.50/x
  3. Step 3: Cross multiply
    181,410.50x = 397,342.50 × 397,342.50
  4. Step 4: Simplify right side
    181,410.50x = 157,881,062,306.25
  5. Step 5: Solve for x
    x = 157,881,062,306.25/181,410.50
  6. Step 6: Final answer
    x = 870,297.27

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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.