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Finding the Third Proportional to 191,779 and 287,669

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Solution

The third proportional to 191,779 and 287,669 is: 431,504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,779 : 287,669 = 287,669 : x
  2. Step 2: Convert to fraction form
    191,779/287,669 = 287,669/x
  3. Step 3: Cross multiply
    191,779x = 287,669 × 287,669
  4. Step 4: Simplify right side
    191,779x = 82,753,453,561
  5. Step 5: Solve for x
    x = 82,753,453,561/191,779
  6. Step 6: Final answer
    x = 431,504.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.