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Finding the Third Proportional to 184,782 and 278,838

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Solution

The third proportional to 184,782 and 278,838 is: 420,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,782 : 278,838 = 278,838 : x
  2. Step 2: Convert to fraction form
    184,782/278,838 = 278,838/x
  3. Step 3: Cross multiply
    184,782x = 278,838 × 278,838
  4. Step 4: Simplify right side
    184,782x = 77,750,630,244
  5. Step 5: Solve for x
    x = 77,750,630,244/184,782
  6. Step 6: Final answer
    x = 420,769.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.