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Finding the Third Proportional to 135,399 and 271,323

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Solution

The third proportional to 135,399 and 271,323 is: 543,698.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,399 : 271,323 = 271,323 : x
  2. Step 2: Convert to fraction form
    135,399/271,323 = 271,323/x
  3. Step 3: Cross multiply
    135,399x = 271,323 × 271,323
  4. Step 4: Simplify right side
    135,399x = 73,616,170,329
  5. Step 5: Solve for x
    x = 73,616,170,329/135,399
  6. Step 6: Final answer
    x = 543,698.04

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.