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Finding the Third Proportional to 119,919 and 259,710

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Solution

The third proportional to 119,919 and 259,710 is: 562,457.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,919 : 259,710 = 259,710 : x
  2. Step 2: Convert to fraction form
    119,919/259,710 = 259,710/x
  3. Step 3: Cross multiply
    119,919x = 259,710 × 259,710
  4. Step 4: Simplify right side
    119,919x = 67,449,284,100
  5. Step 5: Solve for x
    x = 67,449,284,100/119,919
  6. Step 6: Final answer
    x = 562,457.03

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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.