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Finding the Third Proportional to 184,964 and 404,174

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Solution

The third proportional to 184,964 and 404,174 is: 883,180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,964 : 404,174 = 404,174 : x
  2. Step 2: Convert to fraction form
    184,964/404,174 = 404,174/x
  3. Step 3: Cross multiply
    184,964x = 404,174 × 404,174
  4. Step 4: Simplify right side
    184,964x = 163,356,622,276
  5. Step 5: Solve for x
    x = 163,356,622,276/184,964
  6. Step 6: Final answer
    x = 883,180.63

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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.