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Finding the Third Proportional to 177,969 and 184,530

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Solution

The third proportional to 177,969 and 184,530 is: 191,332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,969 : 184,530 = 184,530 : x
  2. Step 2: Convert to fraction form
    177,969/184,530 = 184,530/x
  3. Step 3: Cross multiply
    177,969x = 184,530 × 184,530
  4. Step 4: Simplify right side
    177,969x = 34,051,320,900
  5. Step 5: Solve for x
    x = 34,051,320,900/177,969
  6. Step 6: Final answer
    x = 191,332.88

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.