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Finding the Third Proportional to 184,686.75 and 404,405.25

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Solution

The third proportional to 184,686.75 and 404,405.25 is: 885,518.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,686.75 : 404,405.25 = 404,405.25 : x
  2. Step 2: Convert to fraction form
    184,686.75/404,405.25 = 404,405.25/x
  3. Step 3: Cross multiply
    184,686.75x = 404,405.25 × 404,405.25
  4. Step 4: Simplify right side
    184,686.75x = 163,543,606,227.56
  5. Step 5: Solve for x
    x = 163,543,606,227.56/184,686.75
  6. Step 6: Final answer
    x = 885,518.89

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