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Finding the Third Proportional to 184,437 and 405,047.25

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Solution

The third proportional to 184,437 and 405,047.25 is: 889,535.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,437 : 405,047.25 = 405,047.25 : x
  2. Step 2: Convert to fraction form
    184,437/405,047.25 = 405,047.25/x
  3. Step 3: Cross multiply
    184,437x = 405,047.25 × 405,047.25
  4. Step 4: Simplify right side
    184,437x = 164,063,274,732.56
  5. Step 5: Solve for x
    x = 164,063,274,732.56/184,437
  6. Step 6: Final answer
    x = 889,535.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.