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Finding the Third Proportional to 219,163.50 and 526,540.50

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Solution

The third proportional to 219,163.50 and 526,540.50 is: 1,265,014.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,163.50 : 526,540.50 = 526,540.50 : x
  2. Step 2: Convert to fraction form
    219,163.50/526,540.50 = 526,540.50/x
  3. Step 3: Cross multiply
    219,163.50x = 526,540.50 × 526,540.50
  4. Step 4: Simplify right side
    219,163.50x = 277,244,898,140.25
  5. Step 5: Solve for x
    x = 277,244,898,140.25/219,163.50
  6. Step 6: Final answer
    x = 1,265,014.01

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.