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Finding the Third Proportional to 115,284 and 180,450

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Solution

The third proportional to 115,284 and 180,450 is: 282,452.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,284 : 180,450 = 180,450 : x
  2. Step 2: Convert to fraction form
    115,284/180,450 = 180,450/x
  3. Step 3: Cross multiply
    115,284x = 180,450 × 180,450
  4. Step 4: Simplify right side
    115,284x = 32,562,202,500
  5. Step 5: Solve for x
    x = 32,562,202,500/115,284
  6. Step 6: Final answer
    x = 282,452.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.