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Finding the Third Proportional to 169,545.66 and 230,893.03

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Solution

The third proportional to 169,545.66 and 230,893.03 is: 314,437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,545.66 : 230,893.03 = 230,893.03 : x
  2. Step 2: Convert to fraction form
    169,545.66/230,893.03 = 230,893.03/x
  3. Step 3: Cross multiply
    169,545.66x = 230,893.03 × 230,893.03
  4. Step 4: Simplify right side
    169,545.66x = 53,311,591,879.81
  5. Step 5: Solve for x
    x = 53,311,591,879.81/169,545.66
  6. Step 6: Final answer
    x = 314,437.97

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.