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Finding the Third Proportional to 184,872 and 280,764

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Solution

The third proportional to 184,872 and 280,764 is: 426,394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,872 : 280,764 = 280,764 : x
  2. Step 2: Convert to fraction form
    184,872/280,764 = 280,764/x
  3. Step 3: Cross multiply
    184,872x = 280,764 × 280,764
  4. Step 4: Simplify right side
    184,872x = 78,828,423,696
  5. Step 5: Solve for x
    x = 78,828,423,696/184,872
  6. Step 6: Final answer
    x = 426,394.61

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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.