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Finding the Third Proportional to 191,673 and 300,069

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Solution

The third proportional to 191,673 and 300,069 is: 469,765.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,673 : 300,069 = 300,069 : x
  2. Step 2: Convert to fraction form
    191,673/300,069 = 300,069/x
  3. Step 3: Cross multiply
    191,673x = 300,069 × 300,069
  4. Step 4: Simplify right side
    191,673x = 90,041,404,761
  5. Step 5: Solve for x
    x = 90,041,404,761/191,673
  6. Step 6: Final answer
    x = 469,765.72

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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.