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Finding the Third Proportional to 171,190.50 and 257,303.25

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Solution

The third proportional to 171,190.50 and 257,303.25 is: 386,732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,190.50 : 257,303.25 = 257,303.25 : x
  2. Step 2: Convert to fraction form
    171,190.50/257,303.25 = 257,303.25/x
  3. Step 3: Cross multiply
    171,190.50x = 257,303.25 × 257,303.25
  4. Step 4: Simplify right side
    171,190.50x = 66,204,962,460.56
  5. Step 5: Solve for x
    x = 66,204,962,460.56/171,190.50
  6. Step 6: Final answer
    x = 386,732.69

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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.