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Finding the Third Proportional to 191,750 and 300,814

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Solution

The third proportional to 191,750 and 300,814 is: 471,911.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,750 : 300,814 = 300,814 : x
  2. Step 2: Convert to fraction form
    191,750/300,814 = 300,814/x
  3. Step 3: Cross multiply
    191,750x = 300,814 × 300,814
  4. Step 4: Simplify right side
    191,750x = 90,489,062,596
  5. Step 5: Solve for x
    x = 90,489,062,596/191,750
  6. Step 6: Final answer
    x = 471,911.67

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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.