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Finding the Third Proportional to 234,596.25 and 512,198.25

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Solution

The third proportional to 234,596.25 and 512,198.25 is: 1,118,291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,596.25 : 512,198.25 = 512,198.25 : x
  2. Step 2: Convert to fraction form
    234,596.25/512,198.25 = 512,198.25/x
  3. Step 3: Cross multiply
    234,596.25x = 512,198.25 × 512,198.25
  4. Step 4: Simplify right side
    234,596.25x = 262,347,047,303.06
  5. Step 5: Solve for x
    x = 262,347,047,303.06/234,596.25
  6. Step 6: Final answer
    x = 1,118,291.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.