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Finding the Third Proportional to 234,162 and 334,610

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Solution

The third proportional to 234,162 and 334,610 is: 478,146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,162 : 334,610 = 334,610 : x
  2. Step 2: Convert to fraction form
    234,162/334,610 = 334,610/x
  3. Step 3: Cross multiply
    234,162x = 334,610 × 334,610
  4. Step 4: Simplify right side
    234,162x = 111,963,852,100
  5. Step 5: Solve for x
    x = 111,963,852,100/234,162
  6. Step 6: Final answer
    x = 478,146.98

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.