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Finding the Third Proportional to 241,350 and 361,557

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Solution

The third proportional to 241,350 and 361,557 is: 541,634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,350 : 361,557 = 361,557 : x
  2. Step 2: Convert to fraction form
    241,350/361,557 = 361,557/x
  3. Step 3: Cross multiply
    241,350x = 361,557 × 361,557
  4. Step 4: Simplify right side
    241,350x = 130,723,464,249
  5. Step 5: Solve for x
    x = 130,723,464,249/241,350
  6. Step 6: Final answer
    x = 541,634.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.