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Finding the Third Proportional to 112,961 and 241,434

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Solution

The third proportional to 112,961 and 241,434 is: 516,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,961 : 241,434 = 241,434 : x
  2. Step 2: Convert to fraction form
    112,961/241,434 = 241,434/x
  3. Step 3: Cross multiply
    112,961x = 241,434 × 241,434
  4. Step 4: Simplify right side
    112,961x = 58,290,376,356
  5. Step 5: Solve for x
    x = 58,290,376,356/112,961
  6. Step 6: Final answer
    x = 516,022.13

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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.