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Finding the Third Proportional to 184,800 and 397,207.50

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Solution

The third proportional to 184,800 and 397,207.50 is: 853,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,800 : 397,207.50 = 397,207.50 : x
  2. Step 2: Convert to fraction form
    184,800/397,207.50 = 397,207.50/x
  3. Step 3: Cross multiply
    184,800x = 397,207.50 × 397,207.50
  4. Step 4: Simplify right side
    184,800x = 157,773,798,056.25
  5. Step 5: Solve for x
    x = 157,773,798,056.25/184,800
  6. Step 6: Final answer
    x = 853,754.32

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Why These Related Problems?

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