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Finding the Third Proportional to 191,563 and 281,779

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Solution

The third proportional to 191,563 and 281,779 is: 414,481.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,563 : 281,779 = 281,779 : x
  2. Step 2: Convert to fraction form
    191,563/281,779 = 281,779/x
  3. Step 3: Cross multiply
    191,563x = 281,779 × 281,779
  4. Step 4: Simplify right side
    191,563x = 79,399,404,841
  5. Step 5: Solve for x
    x = 79,399,404,841/191,563
  6. Step 6: Final answer
    x = 414,481.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.