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Finding the Third Proportional to 202,145.63 and 303,220.13

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Solution

The third proportional to 202,145.63 and 303,220.13 is: 454,832.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,145.63 : 303,220.13 = 303,220.13 : x
  2. Step 2: Convert to fraction form
    202,145.63/303,220.13 = 303,220.13/x
  3. Step 3: Cross multiply
    202,145.63x = 303,220.13 × 303,220.13
  4. Step 4: Simplify right side
    202,145.63x = 91,942,444,205.02
  5. Step 5: Solve for x
    x = 91,942,444,205.02/202,145.63
  6. Step 6: Final answer
    x = 454,832.72

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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.