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Finding the Third Proportional to 143,209.50 and 298,185

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Solution

The third proportional to 143,209.50 and 298,185 is: 620,868.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,209.50 : 298,185 = 298,185 : x
  2. Step 2: Convert to fraction form
    143,209.50/298,185 = 298,185/x
  3. Step 3: Cross multiply
    143,209.50x = 298,185 × 298,185
  4. Step 4: Simplify right side
    143,209.50x = 88,914,294,225
  5. Step 5: Solve for x
    x = 88,914,294,225/143,209.50
  6. Step 6: Final answer
    x = 620,868.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.