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Finding the Third Proportional to 175,264 and 274,578

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Solution

The third proportional to 175,264 and 274,578 is: 430,168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,264 : 274,578 = 274,578 : x
  2. Step 2: Convert to fraction form
    175,264/274,578 = 274,578/x
  3. Step 3: Cross multiply
    175,264x = 274,578 × 274,578
  4. Step 4: Simplify right side
    175,264x = 75,393,078,084
  5. Step 5: Solve for x
    x = 75,393,078,084/175,264
  6. Step 6: Final answer
    x = 430,168.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.