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Finding the Third Proportional to 228,239 and 333,907

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Solution

The third proportional to 228,239 and 333,907 is: 488,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,239 : 333,907 = 333,907 : x
  2. Step 2: Convert to fraction form
    228,239/333,907 = 333,907/x
  3. Step 3: Cross multiply
    228,239x = 333,907 × 333,907
  4. Step 4: Simplify right side
    228,239x = 111,493,884,649
  5. Step 5: Solve for x
    x = 111,493,884,649/228,239
  6. Step 6: Final answer
    x = 488,496.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.