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Finding the Third Proportional to 260,131.50 and 562,059

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Solution

The third proportional to 260,131.50 and 562,059 is: 1,214,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,131.50 : 562,059 = 562,059 : x
  2. Step 2: Convert to fraction form
    260,131.50/562,059 = 562,059/x
  3. Step 3: Cross multiply
    260,131.50x = 562,059 × 562,059
  4. Step 4: Simplify right side
    260,131.50x = 315,910,319,481
  5. Step 5: Solve for x
    x = 315,910,319,481/260,131.50
  6. Step 6: Final answer
    x = 1,214,425.47

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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.