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Finding the Third Proportional to 168,742 and 356,457

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Solution

The third proportional to 168,742 and 356,457 is: 752,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,742 : 356,457 = 356,457 : x
  2. Step 2: Convert to fraction form
    168,742/356,457 = 356,457/x
  3. Step 3: Cross multiply
    168,742x = 356,457 × 356,457
  4. Step 4: Simplify right side
    168,742x = 127,061,592,849
  5. Step 5: Solve for x
    x = 127,061,592,849/168,742
  6. Step 6: Final answer
    x = 752,993.28

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.