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Finding the Third Proportional to 237,270 and 366,991

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Solution

The third proportional to 237,270 and 366,991 is: 567,633.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,270 : 366,991 = 366,991 : x
  2. Step 2: Convert to fraction form
    237,270/366,991 = 366,991/x
  3. Step 3: Cross multiply
    237,270x = 366,991 × 366,991
  4. Step 4: Simplify right side
    237,270x = 134,682,394,081
  5. Step 5: Solve for x
    x = 134,682,394,081/237,270
  6. Step 6: Final answer
    x = 567,633.47

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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.