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Finding the Third Proportional to 252,743 and 380,141

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Solution

The third proportional to 252,743 and 380,141 is: 571,755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,743 : 380,141 = 380,141 : x
  2. Step 2: Convert to fraction form
    252,743/380,141 = 380,141/x
  3. Step 3: Cross multiply
    252,743x = 380,141 × 380,141
  4. Step 4: Simplify right side
    252,743x = 144,507,179,881
  5. Step 5: Solve for x
    x = 144,507,179,881/252,743
  6. Step 6: Final answer
    x = 571,755.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.