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Finding the Third Proportional to 238,426 and 334,150

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Solution

The third proportional to 238,426 and 334,150 is: 468,305.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,426 : 334,150 = 334,150 : x
  2. Step 2: Convert to fraction form
    238,426/334,150 = 334,150/x
  3. Step 3: Cross multiply
    238,426x = 334,150 × 334,150
  4. Step 4: Simplify right side
    238,426x = 111,656,222,500
  5. Step 5: Solve for x
    x = 111,656,222,500/238,426
  6. Step 6: Final answer
    x = 468,305.56

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.