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Finding the Third Proportional to 228,232 and 333,897

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Solution

The third proportional to 228,232 and 333,897 is: 488,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,232 : 333,897 = 333,897 : x
  2. Step 2: Convert to fraction form
    228,232/333,897 = 333,897/x
  3. Step 3: Cross multiply
    228,232x = 333,897 × 333,897
  4. Step 4: Simplify right side
    228,232x = 111,487,206,609
  5. Step 5: Solve for x
    x = 111,487,206,609/228,232
  6. Step 6: Final answer
    x = 488,481.92

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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.