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Finding the Third Proportional to 191,801 and 300,882

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Solution

The third proportional to 191,801 and 300,882 is: 471,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,801 : 300,882 = 300,882 : x
  2. Step 2: Convert to fraction form
    191,801/300,882 = 300,882/x
  3. Step 3: Cross multiply
    191,801x = 300,882 × 300,882
  4. Step 4: Simplify right side
    191,801x = 90,529,977,924
  5. Step 5: Solve for x
    x = 90,529,977,924/191,801
  6. Step 6: Final answer
    x = 471,999.51

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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.