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Finding the Third Proportional to 189,863 and 404,265

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Solution

The third proportional to 189,863 and 404,265 is: 860,779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,863 : 404,265 = 404,265 : x
  2. Step 2: Convert to fraction form
    189,863/404,265 = 404,265/x
  3. Step 3: Cross multiply
    189,863x = 404,265 × 404,265
  4. Step 4: Simplify right side
    189,863x = 163,430,190,225
  5. Step 5: Solve for x
    x = 163,430,190,225/189,863
  6. Step 6: Final answer
    x = 860,779.56

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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.