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Finding the Third Proportional to 179,809.75 and 259,004.50

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Solution

The third proportional to 179,809.75 and 259,004.50 is: 373,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,809.75 : 259,004.50 = 259,004.50 : x
  2. Step 2: Convert to fraction form
    179,809.75/259,004.50 = 259,004.50/x
  3. Step 3: Cross multiply
    179,809.75x = 259,004.50 × 259,004.50
  4. Step 4: Simplify right side
    179,809.75x = 67,083,331,020.25
  5. Step 5: Solve for x
    x = 67,083,331,020.25/179,809.75
  6. Step 6: Final answer
    x = 373,079.50

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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.