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Finding the Third Proportional to 95,798 and 223,751

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Solution

The third proportional to 95,798 and 223,751 is: 522,604.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,798 : 223,751 = 223,751 : x
  2. Step 2: Convert to fraction form
    95,798/223,751 = 223,751/x
  3. Step 3: Cross multiply
    95,798x = 223,751 × 223,751
  4. Step 4: Simplify right side
    95,798x = 50,064,510,001
  5. Step 5: Solve for x
    x = 50,064,510,001/95,798
  6. Step 6: Final answer
    x = 522,604.96

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.