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Finding the Third Proportional to 119,106 and 261,544

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Solution

The third proportional to 119,106 and 261,544 is: 574,322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,106 : 261,544 = 261,544 : x
  2. Step 2: Convert to fraction form
    119,106/261,544 = 261,544/x
  3. Step 3: Cross multiply
    119,106x = 261,544 × 261,544
  4. Step 4: Simplify right side
    119,106x = 68,405,263,936
  5. Step 5: Solve for x
    x = 68,405,263,936/119,106
  6. Step 6: Final answer
    x = 574,322.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.