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Finding the Third Proportional to 118,949 and 256,467

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Solution

The third proportional to 118,949 and 256,467 is: 552,970.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,949 : 256,467 = 256,467 : x
  2. Step 2: Convert to fraction form
    118,949/256,467 = 256,467/x
  3. Step 3: Cross multiply
    118,949x = 256,467 × 256,467
  4. Step 4: Simplify right side
    118,949x = 65,775,322,089
  5. Step 5: Solve for x
    x = 65,775,322,089/118,949
  6. Step 6: Final answer
    x = 552,970.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.