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Finding the Third Proportional to 238,344 and 350,220

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Solution

The third proportional to 238,344 and 350,220 is: 514,609.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,344 : 350,220 = 350,220 : x
  2. Step 2: Convert to fraction form
    238,344/350,220 = 350,220/x
  3. Step 3: Cross multiply
    238,344x = 350,220 × 350,220
  4. Step 4: Simplify right side
    238,344x = 122,654,048,400
  5. Step 5: Solve for x
    x = 122,654,048,400/238,344
  6. Step 6: Final answer
    x = 514,609.34

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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.