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Finding the Third Proportional to 119,154 and 261,923

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Solution

The third proportional to 119,154 and 261,923 is: 575,756.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,154 : 261,923 = 261,923 : x
  2. Step 2: Convert to fraction form
    119,154/261,923 = 261,923/x
  3. Step 3: Cross multiply
    119,154x = 261,923 × 261,923
  4. Step 4: Simplify right side
    119,154x = 68,603,657,929
  5. Step 5: Solve for x
    x = 68,603,657,929/119,154
  6. Step 6: Final answer
    x = 575,756.23

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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.