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Finding the Third Proportional to 184,826 and 278,553

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Solution

The third proportional to 184,826 and 278,553 is: 419,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,826 : 278,553 = 278,553 : x
  2. Step 2: Convert to fraction form
    184,826/278,553 = 278,553/x
  3. Step 3: Cross multiply
    184,826x = 278,553 × 278,553
  4. Step 4: Simplify right side
    184,826x = 77,591,773,809
  5. Step 5: Solve for x
    x = 77,591,773,809/184,826
  6. Step 6: Final answer
    x = 419,809.84

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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.