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Finding the Third Proportional to 228,198 and 508,865.50

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Solution

The third proportional to 228,198 and 508,865.50 is: 1,134,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,198 : 508,865.50 = 508,865.50 : x
  2. Step 2: Convert to fraction form
    228,198/508,865.50 = 508,865.50/x
  3. Step 3: Cross multiply
    228,198x = 508,865.50 × 508,865.50
  4. Step 4: Simplify right side
    228,198x = 258,944,097,090.25
  5. Step 5: Solve for x
    x = 258,944,097,090.25/228,198
  6. Step 6: Final answer
    x = 1,134,734.30

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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.