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Finding the Third Proportional to 143,850 and 302,867

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Solution

The third proportional to 143,850 and 302,867 is: 637,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,850 : 302,867 = 302,867 : x
  2. Step 2: Convert to fraction form
    143,850/302,867 = 302,867/x
  3. Step 3: Cross multiply
    143,850x = 302,867 × 302,867
  4. Step 4: Simplify right side
    143,850x = 91,728,419,689
  5. Step 5: Solve for x
    x = 91,728,419,689/143,850
  6. Step 6: Final answer
    x = 637,667.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.