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Finding the Third Proportional to 120,858 and 259,203

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Solution

The third proportional to 120,858 and 259,203 is: 555,910.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,858 : 259,203 = 259,203 : x
  2. Step 2: Convert to fraction form
    120,858/259,203 = 259,203/x
  3. Step 3: Cross multiply
    120,858x = 259,203 × 259,203
  4. Step 4: Simplify right side
    120,858x = 67,186,195,209
  5. Step 5: Solve for x
    x = 67,186,195,209/120,858
  6. Step 6: Final answer
    x = 555,910.20

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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.