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Finding the Third Proportional to 159,573.25 and 236,278.75

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Solution

The third proportional to 159,573.25 and 236,278.75 is: 349,855.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,573.25 : 236,278.75 = 236,278.75 : x
  2. Step 2: Convert to fraction form
    159,573.25/236,278.75 = 236,278.75/x
  3. Step 3: Cross multiply
    159,573.25x = 236,278.75 × 236,278.75
  4. Step 4: Simplify right side
    159,573.25x = 55,827,647,701.56
  5. Step 5: Solve for x
    x = 55,827,647,701.56/159,573.25
  6. Step 6: Final answer
    x = 349,855.93

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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.