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Finding the Third Proportional to 117,863 and 254,554

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Solution

The third proportional to 117,863 and 254,554 is: 549,771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,863 : 254,554 = 254,554 : x
  2. Step 2: Convert to fraction form
    117,863/254,554 = 254,554/x
  3. Step 3: Cross multiply
    117,863x = 254,554 × 254,554
  4. Step 4: Simplify right side
    117,863x = 64,797,738,916
  5. Step 5: Solve for x
    x = 64,797,738,916/117,863
  6. Step 6: Final answer
    x = 549,771.67

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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.