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Finding the Third Proportional to 237,922 and 350,307

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Solution

The third proportional to 237,922 and 350,307 is: 515,778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,922 : 350,307 = 350,307 : x
  2. Step 2: Convert to fraction form
    237,922/350,307 = 350,307/x
  3. Step 3: Cross multiply
    237,922x = 350,307 × 350,307
  4. Step 4: Simplify right side
    237,922x = 122,714,994,249
  5. Step 5: Solve for x
    x = 122,714,994,249/237,922
  6. Step 6: Final answer
    x = 515,778.26

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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.