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Finding the Third Proportional to 237,899 and 350,274

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Solution

The third proportional to 237,899 and 350,274 is: 515,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,899 : 350,274 = 350,274 : x
  2. Step 2: Convert to fraction form
    237,899/350,274 = 350,274/x
  3. Step 3: Cross multiply
    237,899x = 350,274 × 350,274
  4. Step 4: Simplify right side
    237,899x = 122,691,875,076
  5. Step 5: Solve for x
    x = 122,691,875,076/237,899
  6. Step 6: Final answer
    x = 515,730.94

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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.