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Finding the Third Proportional to 184,856 and 278,596

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Solution

The third proportional to 184,856 and 278,596 is: 419,871.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,856 : 278,596 = 278,596 : x
  2. Step 2: Convert to fraction form
    184,856/278,596 = 278,596/x
  3. Step 3: Cross multiply
    184,856x = 278,596 × 278,596
  4. Step 4: Simplify right side
    184,856x = 77,615,731,216
  5. Step 5: Solve for x
    x = 77,615,731,216/184,856
  6. Step 6: Final answer
    x = 419,871.31

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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.