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Finding the Third Proportional to 171,904.50 and 258,180.75

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Solution

The third proportional to 171,904.50 and 258,180.75 is: 387,757.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,904.50 : 258,180.75 = 258,180.75 : x
  2. Step 2: Convert to fraction form
    171,904.50/258,180.75 = 258,180.75/x
  3. Step 3: Cross multiply
    171,904.50x = 258,180.75 × 258,180.75
  4. Step 4: Simplify right side
    171,904.50x = 66,657,299,670.56
  5. Step 5: Solve for x
    x = 66,657,299,670.56/171,904.50
  6. Step 6: Final answer
    x = 387,757.74

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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.