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Finding the Third Proportional to 227,022 and 342,261

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Solution

The third proportional to 227,022 and 342,261 is: 515,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,022 : 342,261 = 342,261 : x
  2. Step 2: Convert to fraction form
    227,022/342,261 = 342,261/x
  3. Step 3: Cross multiply
    227,022x = 342,261 × 342,261
  4. Step 4: Simplify right side
    227,022x = 117,142,592,121
  5. Step 5: Solve for x
    x = 117,142,592,121/227,022
  6. Step 6: Final answer
    x = 515,996.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.