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Finding the Third Proportional to 169,993.13 and 230,027.06

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Solution

The third proportional to 169,993.13 and 230,027.06 is: 311,262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,993.13 : 230,027.06 = 230,027.06 : x
  2. Step 2: Convert to fraction form
    169,993.13/230,027.06 = 230,027.06/x
  3. Step 3: Cross multiply
    169,993.13x = 230,027.06 × 230,027.06
  4. Step 4: Simplify right side
    169,993.13x = 52,912,449,482.38
  5. Step 5: Solve for x
    x = 52,912,449,482.38/169,993.13
  6. Step 6: Final answer
    x = 311,262.29

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.