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Finding the Third Proportional to 234,198 and 348,705

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Solution

The third proportional to 234,198 and 348,705 is: 519,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,198 : 348,705 = 348,705 : x
  2. Step 2: Convert to fraction form
    234,198/348,705 = 348,705/x
  3. Step 3: Cross multiply
    234,198x = 348,705 × 348,705
  4. Step 4: Simplify right side
    234,198x = 121,595,177,025
  5. Step 5: Solve for x
    x = 121,595,177,025/234,198
  6. Step 6: Final answer
    x = 519,198.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.