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Finding the Third Proportional to 184,422 and 277,926

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Solution

The third proportional to 184,422 and 277,926 is: 418,837.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,422 : 277,926 = 277,926 : x
  2. Step 2: Convert to fraction form
    184,422/277,926 = 277,926/x
  3. Step 3: Cross multiply
    184,422x = 277,926 × 277,926
  4. Step 4: Simplify right side
    184,422x = 77,242,861,476
  5. Step 5: Solve for x
    x = 77,242,861,476/184,422
  6. Step 6: Final answer
    x = 418,837.57

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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.