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Finding the Third Proportional to 237,932 and 350,328

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Solution

The third proportional to 237,932 and 350,328 is: 515,818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,932 : 350,328 = 350,328 : x
  2. Step 2: Convert to fraction form
    237,932/350,328 = 350,328/x
  3. Step 3: Cross multiply
    237,932x = 350,328 × 350,328
  4. Step 4: Simplify right side
    237,932x = 122,729,707,584
  5. Step 5: Solve for x
    x = 122,729,707,584/237,932
  6. Step 6: Final answer
    x = 515,818.42

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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.