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Finding the Third Proportional to 239,043 and 335,014.50

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Solution

The third proportional to 239,043 and 335,014.50 is: 469,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,043 : 335,014.50 = 335,014.50 : x
  2. Step 2: Convert to fraction form
    239,043/335,014.50 = 335,014.50/x
  3. Step 3: Cross multiply
    239,043x = 335,014.50 × 335,014.50
  4. Step 4: Simplify right side
    239,043x = 112,234,715,210.25
  5. Step 5: Solve for x
    x = 112,234,715,210.25/239,043
  6. Step 6: Final answer
    x = 469,516.85

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.