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Finding the Third Proportional to 199,828 and 301,062

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Solution

The third proportional to 199,828 and 301,062 is: 453,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,828 : 301,062 = 301,062 : x
  2. Step 2: Convert to fraction form
    199,828/301,062 = 301,062/x
  3. Step 3: Cross multiply
    199,828x = 301,062 × 301,062
  4. Step 4: Simplify right side
    199,828x = 90,638,327,844
  5. Step 5: Solve for x
    x = 90,638,327,844/199,828
  6. Step 6: Final answer
    x = 453,581.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.