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Finding the Third Proportional to 257,223 and 366,917

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Solution

The third proportional to 257,223 and 366,917 is: 523,390.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,223 : 366,917 = 366,917 : x
  2. Step 2: Convert to fraction form
    257,223/366,917 = 366,917/x
  3. Step 3: Cross multiply
    257,223x = 366,917 × 366,917
  4. Step 4: Simplify right side
    257,223x = 134,628,084,889
  5. Step 5: Solve for x
    x = 134,628,084,889/257,223
  6. Step 6: Final answer
    x = 523,390.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.