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Finding the Third Proportional to 175,296 and 262,642

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Solution

The third proportional to 175,296 and 262,642 is: 393,510.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,296 : 262,642 = 262,642 : x
  2. Step 2: Convert to fraction form
    175,296/262,642 = 262,642/x
  3. Step 3: Cross multiply
    175,296x = 262,642 × 262,642
  4. Step 4: Simplify right side
    175,296x = 68,980,820,164
  5. Step 5: Solve for x
    x = 68,980,820,164/175,296
  6. Step 6: Final answer
    x = 393,510.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.