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Finding the Third Proportional to 228,001 and 349,958

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Solution

The third proportional to 228,001 and 349,958 is: 537,149.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,001 : 349,958 = 349,958 : x
  2. Step 2: Convert to fraction form
    228,001/349,958 = 349,958/x
  3. Step 3: Cross multiply
    228,001x = 349,958 × 349,958
  4. Step 4: Simplify right side
    228,001x = 122,470,601,764
  5. Step 5: Solve for x
    x = 122,470,601,764/228,001
  6. Step 6: Final answer
    x = 537,149.41

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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.