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Finding the Third Proportional to 191,756 and 300,153

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Solution

The third proportional to 191,756 and 300,153 is: 469,825.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,756 : 300,153 = 300,153 : x
  2. Step 2: Convert to fraction form
    191,756/300,153 = 300,153/x
  3. Step 3: Cross multiply
    191,756x = 300,153 × 300,153
  4. Step 4: Simplify right side
    191,756x = 90,091,823,409
  5. Step 5: Solve for x
    x = 90,091,823,409/191,756
  6. Step 6: Final answer
    x = 469,825.32

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.