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Finding the Third Proportional to 238,350 and 350,229

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Solution

The third proportional to 238,350 and 350,229 is: 514,622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,350 : 350,229 = 350,229 : x
  2. Step 2: Convert to fraction form
    238,350/350,229 = 350,229/x
  3. Step 3: Cross multiply
    238,350x = 350,229 × 350,229
  4. Step 4: Simplify right side
    238,350x = 122,660,352,441
  5. Step 5: Solve for x
    x = 122,660,352,441/238,350
  6. Step 6: Final answer
    x = 514,622.83

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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.