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Finding the Third Proportional to 237,942 and 350,334

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Solution

The third proportional to 237,942 and 350,334 is: 515,814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,942 : 350,334 = 350,334 : x
  2. Step 2: Convert to fraction form
    237,942/350,334 = 350,334/x
  3. Step 3: Cross multiply
    237,942x = 350,334 × 350,334
  4. Step 4: Simplify right side
    237,942x = 122,733,911,556
  5. Step 5: Solve for x
    x = 122,733,911,556/237,942
  6. Step 6: Final answer
    x = 515,814.41

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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.