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Finding the Third Proportional to 159,539.94 and 236,157.56

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Solution

The third proportional to 159,539.94 and 236,157.56 is: 349,570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,539.94 : 236,157.56 = 236,157.56 : x
  2. Step 2: Convert to fraction form
    159,539.94/236,157.56 = 236,157.56/x
  3. Step 3: Cross multiply
    159,539.94x = 236,157.56 × 236,157.56
  4. Step 4: Simplify right side
    159,539.94x = 55,770,391,558.47
  5. Step 5: Solve for x
    x = 55,770,391,558.47/159,539.94
  6. Step 6: Final answer
    x = 349,570.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.