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Finding the Third Proportional to 184,232 and 381,584

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Solution

The third proportional to 184,232 and 381,584 is: 790,342.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,232 : 381,584 = 381,584 : x
  2. Step 2: Convert to fraction form
    184,232/381,584 = 381,584/x
  3. Step 3: Cross multiply
    184,232x = 381,584 × 381,584
  4. Step 4: Simplify right side
    184,232x = 145,606,349,056
  5. Step 5: Solve for x
    x = 145,606,349,056/184,232
  6. Step 6: Final answer
    x = 790,342.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.