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Finding the Third Proportional to 112,371.75 and 241,419

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Solution

The third proportional to 112,371.75 and 241,419 is: 518,663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,371.75 : 241,419 = 241,419 : x
  2. Step 2: Convert to fraction form
    112,371.75/241,419 = 241,419/x
  3. Step 3: Cross multiply
    112,371.75x = 241,419 × 241,419
  4. Step 4: Simplify right side
    112,371.75x = 58,283,133,561
  5. Step 5: Solve for x
    x = 58,283,133,561/112,371.75
  6. Step 6: Final answer
    x = 518,663.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.