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Finding the Third Proportional to 202,068.42 and 303,131.74

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Solution

The third proportional to 202,068.42 and 303,131.74 is: 454,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,068.42 : 303,131.74 = 303,131.74 : x
  2. Step 2: Convert to fraction form
    202,068.42/303,131.74 = 303,131.74/x
  3. Step 3: Cross multiply
    202,068.42x = 303,131.74 × 303,131.74
  4. Step 4: Simplify right side
    202,068.42x = 91,888,853,121.63
  5. Step 5: Solve for x
    x = 91,888,853,121.63/202,068.42
  6. Step 6: Final answer
    x = 454,741.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.