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Finding the Third Proportional to 149,817 and 201,850

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Solution

The third proportional to 149,817 and 201,850 is: 271,954.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,817 : 201,850 = 201,850 : x
  2. Step 2: Convert to fraction form
    149,817/201,850 = 201,850/x
  3. Step 3: Cross multiply
    149,817x = 201,850 × 201,850
  4. Step 4: Simplify right side
    149,817x = 40,743,422,500
  5. Step 5: Solve for x
    x = 40,743,422,500/149,817
  6. Step 6: Final answer
    x = 271,954.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.