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Finding the Third Proportional to 119,984.50 and 262,568

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Solution

The third proportional to 119,984.50 and 262,568 is: 574,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,984.50 : 262,568 = 262,568 : x
  2. Step 2: Convert to fraction form
    119,984.50/262,568 = 262,568/x
  3. Step 3: Cross multiply
    119,984.50x = 262,568 × 262,568
  4. Step 4: Simplify right side
    119,984.50x = 68,941,954,624
  5. Step 5: Solve for x
    x = 68,941,954,624/119,984.50
  6. Step 6: Final answer
    x = 574,590.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.