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Finding the Third Proportional to 202,081.50 and 303,121.13

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Solution

The third proportional to 202,081.50 and 303,121.13 is: 454,680.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,081.50 : 303,121.13 = 303,121.13 : x
  2. Step 2: Convert to fraction form
    202,081.50/303,121.13 = 303,121.13/x
  3. Step 3: Cross multiply
    202,081.50x = 303,121.13 × 303,121.13
  4. Step 4: Simplify right side
    202,081.50x = 91,882,416,421.27
  5. Step 5: Solve for x
    x = 91,882,416,421.27/202,081.50
  6. Step 6: Final answer
    x = 454,680.00

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Why These Related Problems?

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