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Finding the Third Proportional to 86,548 and 184,256

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Solution

The third proportional to 86,548 and 184,256 is: 392,271.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,548 : 184,256 = 184,256 : x
  2. Step 2: Convert to fraction form
    86,548/184,256 = 184,256/x
  3. Step 3: Cross multiply
    86,548x = 184,256 × 184,256
  4. Step 4: Simplify right side
    86,548x = 33,950,273,536
  5. Step 5: Solve for x
    x = 33,950,273,536/86,548
  6. Step 6: Final answer
    x = 392,271.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.