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Finding the Third Proportional to 175,296 and 267,312

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Solution

The third proportional to 175,296 and 267,312 is: 407,628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,296 : 267,312 = 267,312 : x
  2. Step 2: Convert to fraction form
    175,296/267,312 = 267,312/x
  3. Step 3: Cross multiply
    175,296x = 267,312 × 267,312
  4. Step 4: Simplify right side
    175,296x = 71,455,705,344
  5. Step 5: Solve for x
    x = 71,455,705,344/175,296
  6. Step 6: Final answer
    x = 407,628.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.