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Finding the Third Proportional to 111,724 and 234,938

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Solution

The third proportional to 111,724 and 234,938 is: 494,037.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,724 : 234,938 = 234,938 : x
  2. Step 2: Convert to fraction form
    111,724/234,938 = 234,938/x
  3. Step 3: Cross multiply
    111,724x = 234,938 × 234,938
  4. Step 4: Simplify right side
    111,724x = 55,195,863,844
  5. Step 5: Solve for x
    x = 55,195,863,844/111,724
  6. Step 6: Final answer
    x = 494,037.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.