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Finding the Third Proportional to 184,726 and 397,938.50

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Solution

The third proportional to 184,726 and 397,938.50 is: 857,242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,726 : 397,938.50 = 397,938.50 : x
  2. Step 2: Convert to fraction form
    184,726/397,938.50 = 397,938.50/x
  3. Step 3: Cross multiply
    184,726x = 397,938.50 × 397,938.50
  4. Step 4: Simplify right side
    184,726x = 158,355,049,782.25
  5. Step 5: Solve for x
    x = 158,355,049,782.25/184,726
  6. Step 6: Final answer
    x = 857,242.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.