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Finding the Third Proportional to 143,049 and 210,194

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Solution

The third proportional to 143,049 and 210,194 is: 308,855.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,049 : 210,194 = 210,194 : x
  2. Step 2: Convert to fraction form
    143,049/210,194 = 210,194/x
  3. Step 3: Cross multiply
    143,049x = 210,194 × 210,194
  4. Step 4: Simplify right side
    143,049x = 44,181,517,636
  5. Step 5: Solve for x
    x = 44,181,517,636/143,049
  6. Step 6: Final answer
    x = 308,855.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.