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Finding the Third Proportional to 117,525 and 258,378

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Solution

The third proportional to 117,525 and 258,378 is: 568,042.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,525 : 258,378 = 258,378 : x
  2. Step 2: Convert to fraction form
    117,525/258,378 = 258,378/x
  3. Step 3: Cross multiply
    117,525x = 258,378 × 258,378
  4. Step 4: Simplify right side
    117,525x = 66,759,190,884
  5. Step 5: Solve for x
    x = 66,759,190,884/117,525
  6. Step 6: Final answer
    x = 568,042.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.