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Finding the Third Proportional to 184,701 and 397,650

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Solution

The third proportional to 184,701 and 397,650 is: 856,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,701 : 397,650 = 397,650 : x
  2. Step 2: Convert to fraction form
    184,701/397,650 = 397,650/x
  3. Step 3: Cross multiply
    184,701x = 397,650 × 397,650
  4. Step 4: Simplify right side
    184,701x = 158,125,522,500
  5. Step 5: Solve for x
    x = 158,125,522,500/184,701
  6. Step 6: Final answer
    x = 856,116.22

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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.