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Finding the Third Proportional to 189,723.38 and 404,025.75

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Solution

The third proportional to 189,723.38 and 404,025.75 is: 860,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,723.38 : 404,025.75 = 404,025.75 : x
  2. Step 2: Convert to fraction form
    189,723.38/404,025.75 = 404,025.75/x
  3. Step 3: Cross multiply
    189,723.38x = 404,025.75 × 404,025.75
  4. Step 4: Simplify right side
    189,723.38x = 163,236,806,663.06
  5. Step 5: Solve for x
    x = 163,236,806,663.06/189,723.38
  6. Step 6: Final answer
    x = 860,393.75

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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.