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Finding the Third Proportional to 146,620.13 and 204,621.19

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Solution

The third proportional to 146,620.13 and 204,621.19 is: 285,566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,620.13 : 204,621.19 = 204,621.19 : x
  2. Step 2: Convert to fraction form
    146,620.13/204,621.19 = 204,621.19/x
  3. Step 3: Cross multiply
    146,620.13x = 204,621.19 × 204,621.19
  4. Step 4: Simplify right side
    146,620.13x = 41,869,830,373.91
  5. Step 5: Solve for x
    x = 41,869,830,373.91/146,620.13
  6. Step 6: Final answer
    x = 285,566.73

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.