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Finding the Third Proportional to 119,828 and 183,378

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Solution

The third proportional to 119,828 and 183,378 is: 280,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,828 : 183,378 = 183,378 : x
  2. Step 2: Convert to fraction form
    119,828/183,378 = 183,378/x
  3. Step 3: Cross multiply
    119,828x = 183,378 × 183,378
  4. Step 4: Simplify right side
    119,828x = 33,627,490,884
  5. Step 5: Solve for x
    x = 33,627,490,884/119,828
  6. Step 6: Final answer
    x = 280,631.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.