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Finding the Third Proportional to 189,180 and 292,923

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Solution

The third proportional to 189,180 and 292,923 is: 453,556.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,180 : 292,923 = 292,923 : x
  2. Step 2: Convert to fraction form
    189,180/292,923 = 292,923/x
  3. Step 3: Cross multiply
    189,180x = 292,923 × 292,923
  4. Step 4: Simplify right side
    189,180x = 85,803,883,929
  5. Step 5: Solve for x
    x = 85,803,883,929/189,180
  6. Step 6: Final answer
    x = 453,556.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.