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Finding the Third Proportional to 137,606.50 and 303,147.50

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Solution

The third proportional to 137,606.50 and 303,147.50 is: 667,834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,606.50 : 303,147.50 = 303,147.50 : x
  2. Step 2: Convert to fraction form
    137,606.50/303,147.50 = 303,147.50/x
  3. Step 3: Cross multiply
    137,606.50x = 303,147.50 × 303,147.50
  4. Step 4: Simplify right side
    137,606.50x = 91,898,406,756.25
  5. Step 5: Solve for x
    x = 91,898,406,756.25/137,606.50
  6. Step 6: Final answer
    x = 667,834.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.