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Finding the Third Proportional to 227,994 and 350,955

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Solution

The third proportional to 227,994 and 350,955 is: 540,230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,994 : 350,955 = 350,955 : x
  2. Step 2: Convert to fraction form
    227,994/350,955 = 350,955/x
  3. Step 3: Cross multiply
    227,994x = 350,955 × 350,955
  4. Step 4: Simplify right side
    227,994x = 123,169,412,025
  5. Step 5: Solve for x
    x = 123,169,412,025/227,994
  6. Step 6: Final answer
    x = 540,230.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.