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Finding the Third Proportional to 191,122 and 287,162

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Solution

The third proportional to 191,122 and 287,162 is: 431,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,122 : 287,162 = 287,162 : x
  2. Step 2: Convert to fraction form
    191,122/287,162 = 287,162/x
  3. Step 3: Cross multiply
    191,122x = 287,162 × 287,162
  4. Step 4: Simplify right side
    191,122x = 82,462,014,244
  5. Step 5: Solve for x
    x = 82,462,014,244/191,122
  6. Step 6: Final answer
    x = 431,462.70

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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.