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Finding the Third Proportional to 196,690.50 and 303,723

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Solution

The third proportional to 196,690.50 and 303,723 is: 468,999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,690.50 : 303,723 = 303,723 : x
  2. Step 2: Convert to fraction form
    196,690.50/303,723 = 303,723/x
  3. Step 3: Cross multiply
    196,690.50x = 303,723 × 303,723
  4. Step 4: Simplify right side
    196,690.50x = 92,247,660,729
  5. Step 5: Solve for x
    x = 92,247,660,729/196,690.50
  6. Step 6: Final answer
    x = 468,999.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.