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Finding the Third Proportional to 120,852 and 259,191

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Solution

The third proportional to 120,852 and 259,191 is: 555,886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,852 : 259,191 = 259,191 : x
  2. Step 2: Convert to fraction form
    120,852/259,191 = 259,191/x
  3. Step 3: Cross multiply
    120,852x = 259,191 × 259,191
  4. Step 4: Simplify right side
    120,852x = 67,179,974,481
  5. Step 5: Solve for x
    x = 67,179,974,481/120,852
  6. Step 6: Final answer
    x = 555,886.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.