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Finding the Third Proportional to 159,823.75 and 248,139.75

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Solution

The third proportional to 159,823.75 and 248,139.75 is: 385,257.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,823.75 : 248,139.75 = 248,139.75 : x
  2. Step 2: Convert to fraction form
    159,823.75/248,139.75 = 248,139.75/x
  3. Step 3: Cross multiply
    159,823.75x = 248,139.75 × 248,139.75
  4. Step 4: Simplify right side
    159,823.75x = 61,573,335,530.06
  5. Step 5: Solve for x
    x = 61,573,335,530.06/159,823.75
  6. Step 6: Final answer
    x = 385,257.73

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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.