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Finding the Third Proportional to 111,922.31 and 241,569.56

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Solution

The third proportional to 111,922.31 and 241,569.56 is: 521,396.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,922.31 : 241,569.56 = 241,569.56 : x
  2. Step 2: Convert to fraction form
    111,922.31/241,569.56 = 241,569.56/x
  3. Step 3: Cross multiply
    111,922.31x = 241,569.56 × 241,569.56
  4. Step 4: Simplify right side
    111,922.31x = 58,355,853,526.44
  5. Step 5: Solve for x
    x = 58,355,853,526.44/111,922.31
  6. Step 6: Final answer
    x = 521,396.07

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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.