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Finding the Third Proportional to 133,532 and 270,752

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Solution

The third proportional to 133,532 and 270,752 is: 548,981.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,532 : 270,752 = 270,752 : x
  2. Step 2: Convert to fraction form
    133,532/270,752 = 270,752/x
  3. Step 3: Cross multiply
    133,532x = 270,752 × 270,752
  4. Step 4: Simplify right side
    133,532x = 73,306,645,504
  5. Step 5: Solve for x
    x = 73,306,645,504/133,532
  6. Step 6: Final answer
    x = 548,981.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.