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Finding the Third Proportional to 159,813 and 248,449.50

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Solution

The third proportional to 159,813 and 248,449.50 is: 386,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,813 : 248,449.50 = 248,449.50 : x
  2. Step 2: Convert to fraction form
    159,813/248,449.50 = 248,449.50/x
  3. Step 3: Cross multiply
    159,813x = 248,449.50 × 248,449.50
  4. Step 4: Simplify right side
    159,813x = 61,727,154,050.25
  5. Step 5: Solve for x
    x = 61,727,154,050.25/159,813
  6. Step 6: Final answer
    x = 386,246.14

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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.