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Finding the Third Proportional to 184,807.50 and 395,859

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Solution

The third proportional to 184,807.50 and 395,859 is: 847,932.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,807.50 : 395,859 = 395,859 : x
  2. Step 2: Convert to fraction form
    184,807.50/395,859 = 395,859/x
  3. Step 3: Cross multiply
    184,807.50x = 395,859 × 395,859
  4. Step 4: Simplify right side
    184,807.50x = 156,704,347,881
  5. Step 5: Solve for x
    x = 156,704,347,881/184,807.50
  6. Step 6: Final answer
    x = 847,932.84

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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.