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Finding the Third Proportional to 84,651.75 and 180,319.50

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Solution

The third proportional to 84,651.75 and 180,319.50 is: 384,104.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,651.75 : 180,319.50 = 180,319.50 : x
  2. Step 2: Convert to fraction form
    84,651.75/180,319.50 = 180,319.50/x
  3. Step 3: Cross multiply
    84,651.75x = 180,319.50 × 180,319.50
  4. Step 4: Simplify right side
    84,651.75x = 32,515,122,080.25
  5. Step 5: Solve for x
    x = 32,515,122,080.25/84,651.75
  6. Step 6: Final answer
    x = 384,104.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.