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Finding the Third Proportional to 121,274.44 and 263,783.81

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Solution

The third proportional to 121,274.44 and 263,783.81 is: 573,755.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,274.44 : 263,783.81 = 263,783.81 : x
  2. Step 2: Convert to fraction form
    121,274.44/263,783.81 = 263,783.81/x
  3. Step 3: Cross multiply
    121,274.44x = 263,783.81 × 263,783.81
  4. Step 4: Simplify right side
    121,274.44x = 69,581,899,737.04
  5. Step 5: Solve for x
    x = 69,581,899,737.04/121,274.44
  6. Step 6: Final answer
    x = 573,755.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.