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Finding the Third Proportional to 191,826 and 300,910

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Solution

The third proportional to 191,826 and 300,910 is: 472,025.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,826 : 300,910 = 300,910 : x
  2. Step 2: Convert to fraction form
    191,826/300,910 = 300,910/x
  3. Step 3: Cross multiply
    191,826x = 300,910 × 300,910
  4. Step 4: Simplify right side
    191,826x = 90,546,828,100
  5. Step 5: Solve for x
    x = 90,546,828,100/191,826
  6. Step 6: Final answer
    x = 472,025.84

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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.