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Finding the Third Proportional to 111,910 and 241,693

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Solution

The third proportional to 111,910 and 241,693 is: 521,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,910 : 241,693 = 241,693 : x
  2. Step 2: Convert to fraction form
    111,910/241,693 = 241,693/x
  3. Step 3: Cross multiply
    111,910x = 241,693 × 241,693
  4. Step 4: Simplify right side
    111,910x = 58,415,506,249
  5. Step 5: Solve for x
    x = 58,415,506,249/111,910
  6. Step 6: Final answer
    x = 521,986.47

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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.