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Finding the Third Proportional to 152,839 and 336,782

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Solution

The third proportional to 152,839 and 336,782 is: 742,101.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,839 : 336,782 = 336,782 : x
  2. Step 2: Convert to fraction form
    152,839/336,782 = 336,782/x
  3. Step 3: Cross multiply
    152,839x = 336,782 × 336,782
  4. Step 4: Simplify right side
    152,839x = 113,422,115,524
  5. Step 5: Solve for x
    x = 113,422,115,524/152,839
  6. Step 6: Final answer
    x = 742,101.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.