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Finding the Third Proportional to 175,105 and 267,740

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Solution

The third proportional to 175,105 and 267,740 is: 409,381.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,105 : 267,740 = 267,740 : x
  2. Step 2: Convert to fraction form
    175,105/267,740 = 267,740/x
  3. Step 3: Cross multiply
    175,105x = 267,740 × 267,740
  4. Step 4: Simplify right side
    175,105x = 71,684,707,600
  5. Step 5: Solve for x
    x = 71,684,707,600/175,105
  6. Step 6: Final answer
    x = 409,381.27

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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.