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Finding the Third Proportional to 189,192 and 292,950

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Solution

The third proportional to 189,192 and 292,950 is: 453,611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,192 : 292,950 = 292,950 : x
  2. Step 2: Convert to fraction form
    189,192/292,950 = 292,950/x
  3. Step 3: Cross multiply
    189,192x = 292,950 × 292,950
  4. Step 4: Simplify right side
    189,192x = 85,819,702,500
  5. Step 5: Solve for x
    x = 85,819,702,500/189,192
  6. Step 6: Final answer
    x = 453,611.69

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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.