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Finding the Third Proportional to 228,939 and 350,214

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Solution

The third proportional to 228,939 and 350,214 is: 535,731.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,939 : 350,214 = 350,214 : x
  2. Step 2: Convert to fraction form
    228,939/350,214 = 350,214/x
  3. Step 3: Cross multiply
    228,939x = 350,214 × 350,214
  4. Step 4: Simplify right side
    228,939x = 122,649,845,796
  5. Step 5: Solve for x
    x = 122,649,845,796/228,939
  6. Step 6: Final answer
    x = 535,731.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.