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Finding the Third Proportional to 117,940.50 and 254,651.25

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Solution

The third proportional to 117,940.50 and 254,651.25 is: 549,830.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,940.50 : 254,651.25 = 254,651.25 : x
  2. Step 2: Convert to fraction form
    117,940.50/254,651.25 = 254,651.25/x
  3. Step 3: Cross multiply
    117,940.50x = 254,651.25 × 254,651.25
  4. Step 4: Simplify right side
    117,940.50x = 64,847,259,126.56
  5. Step 5: Solve for x
    x = 64,847,259,126.56/117,940.50
  6. Step 6: Final answer
    x = 549,830.29

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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.