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Finding the Third Proportional to 184,748 and 397,124

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Solution

The third proportional to 184,748 and 397,124 is: 853,635.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,748 : 397,124 = 397,124 : x
  2. Step 2: Convert to fraction form
    184,748/397,124 = 397,124/x
  3. Step 3: Cross multiply
    184,748x = 397,124 × 397,124
  4. Step 4: Simplify right side
    184,748x = 157,707,471,376
  5. Step 5: Solve for x
    x = 157,707,471,376/184,748
  6. Step 6: Final answer
    x = 853,635.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.