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Finding the Third Proportional to 241,380 and 365,958

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Solution

The third proportional to 241,380 and 365,958 is: 554,831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,380 : 365,958 = 365,958 : x
  2. Step 2: Convert to fraction form
    241,380/365,958 = 365,958/x
  3. Step 3: Cross multiply
    241,380x = 365,958 × 365,958
  4. Step 4: Simplify right side
    241,380x = 133,925,257,764
  5. Step 5: Solve for x
    x = 133,925,257,764/241,380
  6. Step 6: Final answer
    x = 554,831.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.