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Finding the Third Proportional to 159,853.50 and 248,366.25

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Solution

The third proportional to 159,853.50 and 248,366.25 is: 385,889.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,853.50 : 248,366.25 = 248,366.25 : x
  2. Step 2: Convert to fraction form
    159,853.50/248,366.25 = 248,366.25/x
  3. Step 3: Cross multiply
    159,853.50x = 248,366.25 × 248,366.25
  4. Step 4: Simplify right side
    159,853.50x = 61,685,794,139.06
  5. Step 5: Solve for x
    x = 61,685,794,139.06/159,853.50
  6. Step 6: Final answer
    x = 385,889.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.