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Finding the Third Proportional to 175,186 and 267,918

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Solution

The third proportional to 175,186 and 267,918 is: 409,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,186 : 267,918 = 267,918 : x
  2. Step 2: Convert to fraction form
    175,186/267,918 = 267,918/x
  3. Step 3: Cross multiply
    175,186x = 267,918 × 267,918
  4. Step 4: Simplify right side
    175,186x = 71,780,054,724
  5. Step 5: Solve for x
    x = 71,780,054,724/175,186
  6. Step 6: Final answer
    x = 409,736.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.