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Finding the Third Proportional to 117,968 and 256,669

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Solution

The third proportional to 117,968 and 256,669 is: 558,447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,968 : 256,669 = 256,669 : x
  2. Step 2: Convert to fraction form
    117,968/256,669 = 256,669/x
  3. Step 3: Cross multiply
    117,968x = 256,669 × 256,669
  4. Step 4: Simplify right side
    117,968x = 65,878,975,561
  5. Step 5: Solve for x
    x = 65,878,975,561/117,968
  6. Step 6: Final answer
    x = 558,447.85

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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.