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Finding the Third Proportional to 119,610 and 259,038

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Solution

The third proportional to 119,610 and 259,038 is: 560,995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,610 : 259,038 = 259,038 : x
  2. Step 2: Convert to fraction form
    119,610/259,038 = 259,038/x
  3. Step 3: Cross multiply
    119,610x = 259,038 × 259,038
  4. Step 4: Simplify right side
    119,610x = 67,100,685,444
  5. Step 5: Solve for x
    x = 67,100,685,444/119,610
  6. Step 6: Final answer
    x = 560,995.61

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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.