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Finding the Third Proportional to 180,651.75 and 259,809.75

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Solution

The third proportional to 180,651.75 and 259,809.75 is: 373,653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,651.75 : 259,809.75 = 259,809.75 : x
  2. Step 2: Convert to fraction form
    180,651.75/259,809.75 = 259,809.75/x
  3. Step 3: Cross multiply
    180,651.75x = 259,809.75 × 259,809.75
  4. Step 4: Simplify right side
    180,651.75x = 67,501,106,195.06
  5. Step 5: Solve for x
    x = 67,501,106,195.06/180,651.75
  6. Step 6: Final answer
    x = 373,653.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.