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Finding the Third Proportional to 175,482 and 274,995

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Solution

The third proportional to 175,482 and 274,995 is: 430,940.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,482 : 274,995 = 274,995 : x
  2. Step 2: Convert to fraction form
    175,482/274,995 = 274,995/x
  3. Step 3: Cross multiply
    175,482x = 274,995 × 274,995
  4. Step 4: Simplify right side
    175,482x = 75,622,250,025
  5. Step 5: Solve for x
    x = 75,622,250,025/175,482
  6. Step 6: Final answer
    x = 430,940.21

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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.