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Finding the Third Proportional to 192,421 and 301,849

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Solution

The third proportional to 192,421 and 301,849 is: 473,507.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,421 : 301,849 = 301,849 : x
  2. Step 2: Convert to fraction form
    192,421/301,849 = 301,849/x
  3. Step 3: Cross multiply
    192,421x = 301,849 × 301,849
  4. Step 4: Simplify right side
    192,421x = 91,112,818,801
  5. Step 5: Solve for x
    x = 91,112,818,801/192,421
  6. Step 6: Final answer
    x = 473,507.67

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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.