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Finding the Third Proportional to 196,126 and 303,065

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Solution

The third proportional to 196,126 and 303,065 is: 468,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,126 : 303,065 = 303,065 : x
  2. Step 2: Convert to fraction form
    196,126/303,065 = 303,065/x
  3. Step 3: Cross multiply
    196,126x = 303,065 × 303,065
  4. Step 4: Simplify right side
    196,126x = 91,848,394,225
  5. Step 5: Solve for x
    x = 91,848,394,225/196,126
  6. Step 6: Final answer
    x = 468,313.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.