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Finding the Third Proportional to 202,135.50 and 303,206.63

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Solution

The third proportional to 202,135.50 and 303,206.63 is: 454,815.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,135.50 : 303,206.63 = 303,206.63 : x
  2. Step 2: Convert to fraction form
    202,135.50/303,206.63 = 303,206.63/x
  3. Step 3: Cross multiply
    202,135.50x = 303,206.63 × 303,206.63
  4. Step 4: Simplify right side
    202,135.50x = 91,934,257,443.89
  5. Step 5: Solve for x
    x = 91,934,257,443.89/202,135.50
  6. Step 6: Final answer
    x = 454,815.00

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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.