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Finding the Third Proportional to 129,054.94 and 303,633.56

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Solution

The third proportional to 129,054.94 and 303,633.56 is: 714,372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,054.94 : 303,633.56 = 303,633.56 : x
  2. Step 2: Convert to fraction form
    129,054.94/303,633.56 = 303,633.56/x
  3. Step 3: Cross multiply
    129,054.94x = 303,633.56 × 303,633.56
  4. Step 4: Simplify right side
    129,054.94x = 92,193,340,276.44
  5. Step 5: Solve for x
    x = 92,193,340,276.44/129,054.94
  6. Step 6: Final answer
    x = 714,372.82

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.