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Finding the Third Proportional to 180,734 and 270,553.75

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Solution

The third proportional to 180,734 and 270,553.75 is: 405,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,734 : 270,553.75 = 270,553.75 : x
  2. Step 2: Convert to fraction form
    180,734/270,553.75 = 270,553.75/x
  3. Step 3: Cross multiply
    180,734x = 270,553.75 × 270,553.75
  4. Step 4: Simplify right side
    180,734x = 73,199,331,639.06
  5. Step 5: Solve for x
    x = 73,199,331,639.06/180,734
  6. Step 6: Final answer
    x = 405,011.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.