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Finding the Third Proportional to 171,238.50 and 272,712.75

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Solution

The third proportional to 171,238.50 and 272,712.75 is: 434,319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,238.50 : 272,712.75 = 272,712.75 : x
  2. Step 2: Convert to fraction form
    171,238.50/272,712.75 = 272,712.75/x
  3. Step 3: Cross multiply
    171,238.50x = 272,712.75 × 272,712.75
  4. Step 4: Simplify right side
    171,238.50x = 74,372,244,012.56
  5. Step 5: Solve for x
    x = 74,372,244,012.56/171,238.50
  6. Step 6: Final answer
    x = 434,319.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.