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Finding the Third Proportional to 118,000 and 256,734

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Solution

The third proportional to 118,000 and 256,734 is: 558,579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,000 : 256,734 = 256,734 : x
  2. Step 2: Convert to fraction form
    118,000/256,734 = 256,734/x
  3. Step 3: Cross multiply
    118,000x = 256,734 × 256,734
  4. Step 4: Simplify right side
    118,000x = 65,912,346,756
  5. Step 5: Solve for x
    x = 65,912,346,756/118,000
  6. Step 6: Final answer
    x = 558,579.21

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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.