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Finding the Third Proportional to 184,440 and 404,208

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Solution

The third proportional to 184,440 and 404,208 is: 885,838.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,440 : 404,208 = 404,208 : x
  2. Step 2: Convert to fraction form
    184,440/404,208 = 404,208/x
  3. Step 3: Cross multiply
    184,440x = 404,208 × 404,208
  4. Step 4: Simplify right side
    184,440x = 163,384,107,264
  5. Step 5: Solve for x
    x = 163,384,107,264/184,440
  6. Step 6: Final answer
    x = 885,838.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.