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Finding the Third Proportional to 263,201.25 and 393,044.25

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Solution

The third proportional to 263,201.25 and 393,044.25 is: 586,941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,201.25 : 393,044.25 = 393,044.25 : x
  2. Step 2: Convert to fraction form
    263,201.25/393,044.25 = 393,044.25/x
  3. Step 3: Cross multiply
    263,201.25x = 393,044.25 × 393,044.25
  4. Step 4: Simplify right side
    263,201.25x = 154,483,782,458.06
  5. Step 5: Solve for x
    x = 154,483,782,458.06/263,201.25
  6. Step 6: Final answer
    x = 586,941.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.