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Finding the Third Proportional to 227,138 and 346,755

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Solution

The third proportional to 227,138 and 346,755 is: 529,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,138 : 346,755 = 346,755 : x
  2. Step 2: Convert to fraction form
    227,138/346,755 = 346,755/x
  3. Step 3: Cross multiply
    227,138x = 346,755 × 346,755
  4. Step 4: Simplify right side
    227,138x = 120,239,030,025
  5. Step 5: Solve for x
    x = 120,239,030,025/227,138
  6. Step 6: Final answer
    x = 529,365.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.