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Finding the Third Proportional to 159,651 and 221,980.50

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Solution

The third proportional to 159,651 and 221,980.50 is: 308,644.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,651 : 221,980.50 = 221,980.50 : x
  2. Step 2: Convert to fraction form
    159,651/221,980.50 = 221,980.50/x
  3. Step 3: Cross multiply
    159,651x = 221,980.50 × 221,980.50
  4. Step 4: Simplify right side
    159,651x = 49,275,342,380.25
  5. Step 5: Solve for x
    x = 49,275,342,380.25/159,651
  6. Step 6: Final answer
    x = 308,644.12

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.