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Finding the Third Proportional to 146,584.69 and 232,297.03

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Solution

The third proportional to 146,584.69 and 232,297.03 is: 368,127.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,584.69 : 232,297.03 = 232,297.03 : x
  2. Step 2: Convert to fraction form
    146,584.69/232,297.03 = 232,297.03/x
  3. Step 3: Cross multiply
    146,584.69x = 232,297.03 × 232,297.03
  4. Step 4: Simplify right side
    146,584.69x = 53,961,910,727.56
  5. Step 5: Solve for x
    x = 53,961,910,727.56/146,584.69
  6. Step 6: Final answer
    x = 368,127.88

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.