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Finding the Third Proportional to 237,906 and 350,287

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Solution

The third proportional to 237,906 and 350,287 is: 515,754.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,906 : 350,287 = 350,287 : x
  2. Step 2: Convert to fraction form
    237,906/350,287 = 350,287/x
  3. Step 3: Cross multiply
    237,906x = 350,287 × 350,287
  4. Step 4: Simplify right side
    237,906x = 122,700,982,369
  5. Step 5: Solve for x
    x = 122,700,982,369/237,906
  6. Step 6: Final answer
    x = 515,754.05

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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.