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Finding the Third Proportional to 111,027 and 237,918

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Solution

The third proportional to 111,027 and 237,918 is: 509,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,027 : 237,918 = 237,918 : x
  2. Step 2: Convert to fraction form
    111,027/237,918 = 237,918/x
  3. Step 3: Cross multiply
    111,027x = 237,918 × 237,918
  4. Step 4: Simplify right side
    111,027x = 56,604,974,724
  5. Step 5: Solve for x
    x = 56,604,974,724/111,027
  6. Step 6: Final answer
    x = 509,830.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.