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Finding the Third Proportional to 159,057 and 245,965.50

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Solution

The third proportional to 159,057 and 245,965.50 is: 380,360.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,057 : 245,965.50 = 245,965.50 : x
  2. Step 2: Convert to fraction form
    159,057/245,965.50 = 245,965.50/x
  3. Step 3: Cross multiply
    159,057x = 245,965.50 × 245,965.50
  4. Step 4: Simplify right side
    159,057x = 60,499,027,190.25
  5. Step 5: Solve for x
    x = 60,499,027,190.25/159,057
  6. Step 6: Final answer
    x = 380,360.67

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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.