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Finding the Third Proportional to 184,154 and 276,914

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Solution

The third proportional to 184,154 and 276,914 is: 416,398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,154 : 276,914 = 276,914 : x
  2. Step 2: Convert to fraction form
    184,154/276,914 = 276,914/x
  3. Step 3: Cross multiply
    184,154x = 276,914 × 276,914
  4. Step 4: Simplify right side
    184,154x = 76,681,363,396
  5. Step 5: Solve for x
    x = 76,681,363,396/184,154
  6. Step 6: Final answer
    x = 416,398.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.