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Finding the Third Proportional to 191,511 and 288,093

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Solution

The third proportional to 191,511 and 288,093 is: 433,382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,511 : 288,093 = 288,093 : x
  2. Step 2: Convert to fraction form
    191,511/288,093 = 288,093/x
  3. Step 3: Cross multiply
    191,511x = 288,093 × 288,093
  4. Step 4: Simplify right side
    191,511x = 82,997,576,649
  5. Step 5: Solve for x
    x = 82,997,576,649/191,511
  6. Step 6: Final answer
    x = 433,382.82

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