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Finding the Third Proportional to 111,286 and 262,533

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Solution

The third proportional to 111,286 and 262,533 is: 619,337.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,286 : 262,533 = 262,533 : x
  2. Step 2: Convert to fraction form
    111,286/262,533 = 262,533/x
  3. Step 3: Cross multiply
    111,286x = 262,533 × 262,533
  4. Step 4: Simplify right side
    111,286x = 68,923,576,089
  5. Step 5: Solve for x
    x = 68,923,576,089/111,286
  6. Step 6: Final answer
    x = 619,337.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.