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Finding the Third Proportional to 184,960 and 404,166

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Solution

The third proportional to 184,960 and 404,166 is: 883,164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,960 : 404,166 = 404,166 : x
  2. Step 2: Convert to fraction form
    184,960/404,166 = 404,166/x
  3. Step 3: Cross multiply
    184,960x = 404,166 × 404,166
  4. Step 4: Simplify right side
    184,960x = 163,350,155,556
  5. Step 5: Solve for x
    x = 163,350,155,556/184,960
  6. Step 6: Final answer
    x = 883,164.77

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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.