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Finding the Third Proportional to 228,194.25 and 508,858.50

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Solution

The third proportional to 228,194.25 and 508,858.50 is: 1,134,721.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,194.25 : 508,858.50 = 508,858.50 : x
  2. Step 2: Convert to fraction form
    228,194.25/508,858.50 = 508,858.50/x
  3. Step 3: Cross multiply
    228,194.25x = 508,858.50 × 508,858.50
  4. Step 4: Simplify right side
    228,194.25x = 258,936,973,022.25
  5. Step 5: Solve for x
    x = 258,936,973,022.25/228,194.25
  6. Step 6: Final answer
    x = 1,134,721.73

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.