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Finding the Third Proportional to 180,990.75 and 270,529.50

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Solution

The third proportional to 180,990.75 and 270,529.50 is: 404,364.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,990.75 : 270,529.50 = 270,529.50 : x
  2. Step 2: Convert to fraction form
    180,990.75/270,529.50 = 270,529.50/x
  3. Step 3: Cross multiply
    180,990.75x = 270,529.50 × 270,529.50
  4. Step 4: Simplify right side
    180,990.75x = 73,186,210,370.25
  5. Step 5: Solve for x
    x = 73,186,210,370.25/180,990.75
  6. Step 6: Final answer
    x = 404,364.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.