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Finding the Third Proportional to 227,124 and 346,194

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Solution

The third proportional to 227,124 and 346,194 is: 527,686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,124 : 346,194 = 346,194 : x
  2. Step 2: Convert to fraction form
    227,124/346,194 = 346,194/x
  3. Step 3: Cross multiply
    227,124x = 346,194 × 346,194
  4. Step 4: Simplify right side
    227,124x = 119,850,285,636
  5. Step 5: Solve for x
    x = 119,850,285,636/227,124
  6. Step 6: Final answer
    x = 527,686.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.