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Finding the Third Proportional to 184,912 and 395,960

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Solution

The third proportional to 184,912 and 395,960 is: 847,886.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,912 : 395,960 = 395,960 : x
  2. Step 2: Convert to fraction form
    184,912/395,960 = 395,960/x
  3. Step 3: Cross multiply
    184,912x = 395,960 × 395,960
  4. Step 4: Simplify right side
    184,912x = 156,784,321,600
  5. Step 5: Solve for x
    x = 156,784,321,600/184,912
  6. Step 6: Final answer
    x = 847,886.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.