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Finding the Third Proportional to 159,786 and 248,440.50

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Solution

The third proportional to 159,786 and 248,440.50 is: 386,283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,786 : 248,440.50 = 248,440.50 : x
  2. Step 2: Convert to fraction form
    159,786/248,440.50 = 248,440.50/x
  3. Step 3: Cross multiply
    159,786x = 248,440.50 × 248,440.50
  4. Step 4: Simplify right side
    159,786x = 61,722,682,040.25
  5. Step 5: Solve for x
    x = 61,722,682,040.25/159,786
  6. Step 6: Final answer
    x = 386,283.42

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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.