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Finding the Third Proportional to 104,638.50 and 228,837

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Solution

The third proportional to 104,638.50 and 228,837 is: 500,450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,638.50 : 228,837 = 228,837 : x
  2. Step 2: Convert to fraction form
    104,638.50/228,837 = 228,837/x
  3. Step 3: Cross multiply
    104,638.50x = 228,837 × 228,837
  4. Step 4: Simplify right side
    104,638.50x = 52,366,372,569
  5. Step 5: Solve for x
    x = 52,366,372,569/104,638.50
  6. Step 6: Final answer
    x = 500,450.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.