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Finding the Third Proportional to 149,611 and 201,574

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Solution

The third proportional to 149,611 and 201,574 is: 271,584.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,611 : 201,574 = 201,574 : x
  2. Step 2: Convert to fraction form
    149,611/201,574 = 201,574/x
  3. Step 3: Cross multiply
    149,611x = 201,574 × 201,574
  4. Step 4: Simplify right side
    149,611x = 40,632,077,476
  5. Step 5: Solve for x
    x = 40,632,077,476/149,611
  6. Step 6: Final answer
    x = 271,584.83

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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.