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Finding the Third Proportional to 241,198 and 354,569

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Solution

The third proportional to 241,198 and 354,569 is: 521,228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,198 : 354,569 = 354,569 : x
  2. Step 2: Convert to fraction form
    241,198/354,569 = 354,569/x
  3. Step 3: Cross multiply
    241,198x = 354,569 × 354,569
  4. Step 4: Simplify right side
    241,198x = 125,719,175,761
  5. Step 5: Solve for x
    x = 125,719,175,761/241,198
  6. Step 6: Final answer
    x = 521,228.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.