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Finding the Third Proportional to 135,000 and 201,384

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Solution

The third proportional to 135,000 and 201,384 is: 300,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,000 : 201,384 = 201,384 : x
  2. Step 2: Convert to fraction form
    135,000/201,384 = 201,384/x
  3. Step 3: Cross multiply
    135,000x = 201,384 × 201,384
  4. Step 4: Simplify right side
    135,000x = 40,555,515,456
  5. Step 5: Solve for x
    x = 40,555,515,456/135,000
  6. Step 6: Final answer
    x = 300,411.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.