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Finding the Third Proportional to 270,951 and 361,956

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Solution

The third proportional to 270,951 and 361,956 is: 483,527.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,951 : 361,956 = 361,956 : x
  2. Step 2: Convert to fraction form
    270,951/361,956 = 361,956/x
  3. Step 3: Cross multiply
    270,951x = 361,956 × 361,956
  4. Step 4: Simplify right side
    270,951x = 131,012,145,936
  5. Step 5: Solve for x
    x = 131,012,145,936/270,951
  6. Step 6: Final answer
    x = 483,527.08

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.