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Finding the Third Proportional to 238,715 and 334,636

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Solution

The third proportional to 238,715 and 334,636 is: 469,100.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,715 : 334,636 = 334,636 : x
  2. Step 2: Convert to fraction form
    238,715/334,636 = 334,636/x
  3. Step 3: Cross multiply
    238,715x = 334,636 × 334,636
  4. Step 4: Simplify right side
    238,715x = 111,981,252,496
  5. Step 5: Solve for x
    x = 111,981,252,496/238,715
  6. Step 6: Final answer
    x = 469,100.19

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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.