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Finding the Third Proportional to 189,860 and 404,260

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Solution

The third proportional to 189,860 and 404,260 is: 860,771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,860 : 404,260 = 404,260 : x
  2. Step 2: Convert to fraction form
    189,860/404,260 = 404,260/x
  3. Step 3: Cross multiply
    189,860x = 404,260 × 404,260
  4. Step 4: Simplify right side
    189,860x = 163,426,147,600
  5. Step 5: Solve for x
    x = 163,426,147,600/189,860
  6. Step 6: Final answer
    x = 860,771.87

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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.