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Finding the Third Proportional to 117,416 and 255,568

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Solution

The third proportional to 117,416 and 255,568 is: 556,270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,416 : 255,568 = 255,568 : x
  2. Step 2: Convert to fraction form
    117,416/255,568 = 255,568/x
  3. Step 3: Cross multiply
    117,416x = 255,568 × 255,568
  4. Step 4: Simplify right side
    117,416x = 65,315,002,624
  5. Step 5: Solve for x
    x = 65,315,002,624/117,416
  6. Step 6: Final answer
    x = 556,270.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.