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Finding the Third Proportional to 275,890.50 and 370,753.50

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Solution

The third proportional to 275,890.50 and 370,753.50 is: 498,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,890.50 : 370,753.50 = 370,753.50 : x
  2. Step 2: Convert to fraction form
    275,890.50/370,753.50 = 370,753.50/x
  3. Step 3: Cross multiply
    275,890.50x = 370,753.50 × 370,753.50
  4. Step 4: Simplify right side
    275,890.50x = 137,458,157,762.25
  5. Step 5: Solve for x
    x = 137,458,157,762.25/275,890.50
  6. Step 6: Final answer
    x = 498,234.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.