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Finding the Third Proportional to 118,568 and 256,820

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Solution

The third proportional to 118,568 and 256,820 is: 556,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,568 : 256,820 = 256,820 : x
  2. Step 2: Convert to fraction form
    118,568/256,820 = 256,820/x
  3. Step 3: Cross multiply
    118,568x = 256,820 × 256,820
  4. Step 4: Simplify right side
    118,568x = 65,956,512,400
  5. Step 5: Solve for x
    x = 65,956,512,400/118,568
  6. Step 6: Final answer
    x = 556,275.83

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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.