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Finding the Third Proportional to 164,543.25 and 356,073

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Solution

The third proportional to 164,543.25 and 356,073 is: 770,545.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,543.25 : 356,073 = 356,073 : x
  2. Step 2: Convert to fraction form
    164,543.25/356,073 = 356,073/x
  3. Step 3: Cross multiply
    164,543.25x = 356,073 × 356,073
  4. Step 4: Simplify right side
    164,543.25x = 126,787,981,329
  5. Step 5: Solve for x
    x = 126,787,981,329/164,543.25
  6. Step 6: Final answer
    x = 770,545.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.