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Finding the Third Proportional to 237,908 and 350,292

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Solution

The third proportional to 237,908 and 350,292 is: 515,764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,908 : 350,292 = 350,292 : x
  2. Step 2: Convert to fraction form
    237,908/350,292 = 350,292/x
  3. Step 3: Cross multiply
    237,908x = 350,292 × 350,292
  4. Step 4: Simplify right side
    237,908x = 122,704,485,264
  5. Step 5: Solve for x
    x = 122,704,485,264/237,908
  6. Step 6: Final answer
    x = 515,764.44

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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.