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Finding the Third Proportional to 175,100 and 254,995

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Solution

The third proportional to 175,100 and 254,995 is: 371,344.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,100 : 254,995 = 254,995 : x
  2. Step 2: Convert to fraction form
    175,100/254,995 = 254,995/x
  3. Step 3: Cross multiply
    175,100x = 254,995 × 254,995
  4. Step 4: Simplify right side
    175,100x = 65,022,450,025
  5. Step 5: Solve for x
    x = 65,022,450,025/175,100
  6. Step 6: Final answer
    x = 371,344.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.