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Finding the Third Proportional to 134,668 and 295,568

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Solution

The third proportional to 134,668 and 295,568 is: 648,709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,668 : 295,568 = 295,568 : x
  2. Step 2: Convert to fraction form
    134,668/295,568 = 295,568/x
  3. Step 3: Cross multiply
    134,668x = 295,568 × 295,568
  4. Step 4: Simplify right side
    134,668x = 87,360,442,624
  5. Step 5: Solve for x
    x = 87,360,442,624/134,668
  6. Step 6: Final answer
    x = 648,709.74

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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.