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Finding the Third Proportional to 111,935 and 241,913

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Solution

The third proportional to 111,935 and 241,913 is: 522,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,935 : 241,913 = 241,913 : x
  2. Step 2: Convert to fraction form
    111,935/241,913 = 241,913/x
  3. Step 3: Cross multiply
    111,935x = 241,913 × 241,913
  4. Step 4: Simplify right side
    111,935x = 58,521,899,569
  5. Step 5: Solve for x
    x = 58,521,899,569/111,935
  6. Step 6: Final answer
    x = 522,820.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.