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Finding the Third Proportional to 184,292 and 277,736

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Solution

The third proportional to 184,292 and 277,736 is: 418,560.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,292 : 277,736 = 277,736 : x
  2. Step 2: Convert to fraction form
    184,292/277,736 = 277,736/x
  3. Step 3: Cross multiply
    184,292x = 277,736 × 277,736
  4. Step 4: Simplify right side
    184,292x = 77,137,285,696
  5. Step 5: Solve for x
    x = 77,137,285,696/184,292
  6. Step 6: Final answer
    x = 418,560.14

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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.