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Finding the Third Proportional to 159,825 and 248,140.50

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Solution

The third proportional to 159,825 and 248,140.50 is: 385,257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,825 : 248,140.50 = 248,140.50 : x
  2. Step 2: Convert to fraction form
    159,825/248,140.50 = 248,140.50/x
  3. Step 3: Cross multiply
    159,825x = 248,140.50 × 248,140.50
  4. Step 4: Simplify right side
    159,825x = 61,573,707,740.25
  5. Step 5: Solve for x
    x = 61,573,707,740.25/159,825
  6. Step 6: Final answer
    x = 385,257.05

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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.