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Finding the Third Proportional to 244,082 and 366,829

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Solution

The third proportional to 244,082 and 366,829 is: 551,304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,082 : 366,829 = 366,829 : x
  2. Step 2: Convert to fraction form
    244,082/366,829 = 366,829/x
  3. Step 3: Cross multiply
    244,082x = 366,829 × 366,829
  4. Step 4: Simplify right side
    244,082x = 134,563,515,241
  5. Step 5: Solve for x
    x = 134,563,515,241/244,082
  6. Step 6: Final answer
    x = 551,304.54

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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.