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Finding the Third Proportional to 119,242 and 259,191

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Solution

The third proportional to 119,242 and 259,191 is: 563,391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,242 : 259,191 = 259,191 : x
  2. Step 2: Convert to fraction form
    119,242/259,191 = 259,191/x
  3. Step 3: Cross multiply
    119,242x = 259,191 × 259,191
  4. Step 4: Simplify right side
    119,242x = 67,179,974,481
  5. Step 5: Solve for x
    x = 67,179,974,481/119,242
  6. Step 6: Final answer
    x = 563,391.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.