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Finding the Third Proportional to 303,196.50 and 505,285.50

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Solution

The third proportional to 303,196.50 and 505,285.50 is: 842,072.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,196.50 : 505,285.50 = 505,285.50 : x
  2. Step 2: Convert to fraction form
    303,196.50/505,285.50 = 505,285.50/x
  3. Step 3: Cross multiply
    303,196.50x = 505,285.50 × 505,285.50
  4. Step 4: Simplify right side
    303,196.50x = 255,313,436,510.25
  5. Step 5: Solve for x
    x = 255,313,436,510.25/303,196.50
  6. Step 6: Final answer
    x = 842,072.51

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.