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Finding the Third Proportional to 159,676 and 222,014.50

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Solution

The third proportional to 159,676 and 222,014.50 is: 308,690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,676 : 222,014.50 = 222,014.50 : x
  2. Step 2: Convert to fraction form
    159,676/222,014.50 = 222,014.50/x
  3. Step 3: Cross multiply
    159,676x = 222,014.50 × 222,014.50
  4. Step 4: Simplify right side
    159,676x = 49,290,438,210.25
  5. Step 5: Solve for x
    x = 49,290,438,210.25/159,676
  6. Step 6: Final answer
    x = 308,690.34

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Why These Related Problems?

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