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Finding the Third Proportional to 174,378.75 and 246,814.50

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Solution

The third proportional to 174,378.75 and 246,814.50 is: 349,339.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,378.75 : 246,814.50 = 246,814.50 : x
  2. Step 2: Convert to fraction form
    174,378.75/246,814.50 = 246,814.50/x
  3. Step 3: Cross multiply
    174,378.75x = 246,814.50 × 246,814.50
  4. Step 4: Simplify right side
    174,378.75x = 60,917,397,410.25
  5. Step 5: Solve for x
    x = 60,917,397,410.25/174,378.75
  6. Step 6: Final answer
    x = 349,339.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.