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Finding the Third Proportional to 264,847.50 and 340,059.38

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Solution

The third proportional to 264,847.50 and 340,059.38 is: 436,630.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,847.50 : 340,059.38 = 340,059.38 : x
  2. Step 2: Convert to fraction form
    264,847.50/340,059.38 = 340,059.38/x
  3. Step 3: Cross multiply
    264,847.50x = 340,059.38 × 340,059.38
  4. Step 4: Simplify right side
    264,847.50x = 115,640,378,525.39
  5. Step 5: Solve for x
    x = 115,640,378,525.39/264,847.50
  6. Step 6: Final answer
    x = 436,630.06

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.