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Finding the Third Proportional to 174,808 and 267,308

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Solution

The third proportional to 174,808 and 267,308 is: 408,754.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,808 : 267,308 = 267,308 : x
  2. Step 2: Convert to fraction form
    174,808/267,308 = 267,308/x
  3. Step 3: Cross multiply
    174,808x = 267,308 × 267,308
  4. Step 4: Simplify right side
    174,808x = 71,453,566,864
  5. Step 5: Solve for x
    x = 71,453,566,864/174,808
  6. Step 6: Final answer
    x = 408,754.56

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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.