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Finding the Third Proportional to 191,774 and 287,517

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Solution

The third proportional to 191,774 and 287,517 is: 431,059.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,774 : 287,517 = 287,517 : x
  2. Step 2: Convert to fraction form
    191,774/287,517 = 287,517/x
  3. Step 3: Cross multiply
    191,774x = 287,517 × 287,517
  4. Step 4: Simplify right side
    191,774x = 82,666,025,289
  5. Step 5: Solve for x
    x = 82,666,025,289/191,774
  6. Step 6: Final answer
    x = 431,059.61

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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.