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Finding the Third Proportional to 83,652.75 and 180,336.38

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Solution

The third proportional to 83,652.75 and 180,336.38 is: 388,764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,652.75 : 180,336.38 = 180,336.38 : x
  2. Step 2: Convert to fraction form
    83,652.75/180,336.38 = 180,336.38/x
  3. Step 3: Cross multiply
    83,652.75x = 180,336.38 × 180,336.38
  4. Step 4: Simplify right side
    83,652.75x = 32,521,208,148.14
  5. Step 5: Solve for x
    x = 32,521,208,148.14/83,652.75
  6. Step 6: Final answer
    x = 388,764.36

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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.