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Finding the Third Proportional to 117,531 and 256,041

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Solution

The third proportional to 117,531 and 256,041 is: 557,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,531 : 256,041 = 256,041 : x
  2. Step 2: Convert to fraction form
    117,531/256,041 = 256,041/x
  3. Step 3: Cross multiply
    117,531x = 256,041 × 256,041
  4. Step 4: Simplify right side
    117,531x = 65,556,993,681
  5. Step 5: Solve for x
    x = 65,556,993,681/117,531
  6. Step 6: Final answer
    x = 557,784.70

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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.