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Finding the Third Proportional to 137,627.23 and 303,191.86

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Solution

The third proportional to 137,627.23 and 303,191.86 is: 667,929.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,627.23 : 303,191.86 = 303,191.86 : x
  2. Step 2: Convert to fraction form
    137,627.23/303,191.86 = 303,191.86/x
  3. Step 3: Cross multiply
    137,627.23x = 303,191.86 × 303,191.86
  4. Step 4: Simplify right side
    137,627.23x = 91,925,303,591.27
  5. Step 5: Solve for x
    x = 91,925,303,591.27/137,627.23
  6. Step 6: Final answer
    x = 667,929.64

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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.