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Finding the Third Proportional to 238,425.75 and 334,175.63

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Solution

The third proportional to 238,425.75 and 334,175.63 is: 468,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,425.75 : 334,175.63 = 334,175.63 : x
  2. Step 2: Convert to fraction form
    238,425.75/334,175.63 = 334,175.63/x
  3. Step 3: Cross multiply
    238,425.75x = 334,175.63 × 334,175.63
  4. Step 4: Simplify right side
    238,425.75x = 111,673,348,344.14
  5. Step 5: Solve for x
    x = 111,673,348,344.14/238,425.75
  6. Step 6: Final answer
    x = 468,377.88

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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.