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Finding the Third Proportional to 184,804 and 404,154

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Solution

The third proportional to 184,804 and 404,154 is: 883,857.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,804 : 404,154 = 404,154 : x
  2. Step 2: Convert to fraction form
    184,804/404,154 = 404,154/x
  3. Step 3: Cross multiply
    184,804x = 404,154 × 404,154
  4. Step 4: Simplify right side
    184,804x = 163,340,455,716
  5. Step 5: Solve for x
    x = 163,340,455,716/184,804
  6. Step 6: Final answer
    x = 883,857.79

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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.