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Finding the Third Proportional to 152,648 and 336,304

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Solution

The third proportional to 152,648 and 336,304 is: 740,922.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,648 : 336,304 = 336,304 : x
  2. Step 2: Convert to fraction form
    152,648/336,304 = 336,304/x
  3. Step 3: Cross multiply
    152,648x = 336,304 × 336,304
  4. Step 4: Simplify right side
    152,648x = 113,100,380,416
  5. Step 5: Solve for x
    x = 113,100,380,416/152,648
  6. Step 6: Final answer
    x = 740,922.78

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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.