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Finding the Third Proportional to 179,575 and 267,805

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Solution

The third proportional to 179,575 and 267,805 is: 399,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,575 : 267,805 = 267,805 : x
  2. Step 2: Convert to fraction form
    179,575/267,805 = 267,805/x
  3. Step 3: Cross multiply
    179,575x = 267,805 × 267,805
  4. Step 4: Simplify right side
    179,575x = 71,719,518,025
  5. Step 5: Solve for x
    x = 71,719,518,025/179,575
  6. Step 6: Final answer
    x = 399,384.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.