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Finding the Third Proportional to 189,229 and 402,983

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Solution

The third proportional to 189,229 and 402,983 is: 858,194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,229 : 402,983 = 402,983 : x
  2. Step 2: Convert to fraction form
    189,229/402,983 = 402,983/x
  3. Step 3: Cross multiply
    189,229x = 402,983 × 402,983
  4. Step 4: Simplify right side
    189,229x = 162,395,298,289
  5. Step 5: Solve for x
    x = 162,395,298,289/189,229
  6. Step 6: Final answer
    x = 858,194.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.