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Finding the Third Proportional to 101,835 and 223,353

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Solution

The third proportional to 101,835 and 223,353 is: 489,876.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,835 : 223,353 = 223,353 : x
  2. Step 2: Convert to fraction form
    101,835/223,353 = 223,353/x
  3. Step 3: Cross multiply
    101,835x = 223,353 × 223,353
  4. Step 4: Simplify right side
    101,835x = 49,886,562,609
  5. Step 5: Solve for x
    x = 49,886,562,609/101,835
  6. Step 6: Final answer
    x = 489,876.39

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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.