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Finding the Third Proportional to 83,764.50 and 180,650.25

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Solution

The third proportional to 83,764.50 and 180,650.25 is: 389,598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,764.50 : 180,650.25 = 180,650.25 : x
  2. Step 2: Convert to fraction form
    83,764.50/180,650.25 = 180,650.25/x
  3. Step 3: Cross multiply
    83,764.50x = 180,650.25 × 180,650.25
  4. Step 4: Simplify right side
    83,764.50x = 32,634,512,825.06
  5. Step 5: Solve for x
    x = 32,634,512,825.06/83,764.50
  6. Step 6: Final answer
    x = 389,598.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.