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Finding the Third Proportional to 137,183.63 and 289,311.75

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Solution

The third proportional to 137,183.63 and 289,311.75 is: 610,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,183.63 : 289,311.75 = 289,311.75 : x
  2. Step 2: Convert to fraction form
    137,183.63/289,311.75 = 289,311.75/x
  3. Step 3: Cross multiply
    137,183.63x = 289,311.75 × 289,311.75
  4. Step 4: Simplify right side
    137,183.63x = 83,701,288,688.06
  5. Step 5: Solve for x
    x = 83,701,288,688.06/137,183.63
  6. Step 6: Final answer
    x = 610,140.52

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.