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Finding the Third Proportional to 208,082 and 442,084

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Solution

The third proportional to 208,082 and 442,084 is: 939,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,082 : 442,084 = 442,084 : x
  2. Step 2: Convert to fraction form
    208,082/442,084 = 442,084/x
  3. Step 3: Cross multiply
    208,082x = 442,084 × 442,084
  4. Step 4: Simplify right side
    208,082x = 195,438,263,056
  5. Step 5: Solve for x
    x = 195,438,263,056/208,082
  6. Step 6: Final answer
    x = 939,236.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.