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Finding the Third Proportional to 120,581 and 261,914

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Solution

The third proportional to 120,581 and 261,914 is: 568,903.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,581 : 261,914 = 261,914 : x
  2. Step 2: Convert to fraction form
    120,581/261,914 = 261,914/x
  3. Step 3: Cross multiply
    120,581x = 261,914 × 261,914
  4. Step 4: Simplify right side
    120,581x = 68,598,943,396
  5. Step 5: Solve for x
    x = 68,598,943,396/120,581
  6. Step 6: Final answer
    x = 568,903.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.