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Finding the Third Proportional to 184,928 and 280,864

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Solution

The third proportional to 184,928 and 280,864 is: 426,569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,928 : 280,864 = 280,864 : x
  2. Step 2: Convert to fraction form
    184,928/280,864 = 280,864/x
  3. Step 3: Cross multiply
    184,928x = 280,864 × 280,864
  4. Step 4: Simplify right side
    184,928x = 78,884,586,496
  5. Step 5: Solve for x
    x = 78,884,586,496/184,928
  6. Step 6: Final answer
    x = 426,569.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.