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Finding the Third Proportional to 171,057.75 and 246,403.50

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Solution

The third proportional to 171,057.75 and 246,403.50 is: 354,936.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,057.75 : 246,403.50 = 246,403.50 : x
  2. Step 2: Convert to fraction form
    171,057.75/246,403.50 = 246,403.50/x
  3. Step 3: Cross multiply
    171,057.75x = 246,403.50 × 246,403.50
  4. Step 4: Simplify right side
    171,057.75x = 60,714,684,812.25
  5. Step 5: Solve for x
    x = 60,714,684,812.25/171,057.75
  6. Step 6: Final answer
    x = 354,936.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.