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Finding the Third Proportional to 152,676 and 335,472

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Solution

The third proportional to 152,676 and 335,472 is: 737,126.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,676 : 335,472 = 335,472 : x
  2. Step 2: Convert to fraction form
    152,676/335,472 = 335,472/x
  3. Step 3: Cross multiply
    152,676x = 335,472 × 335,472
  4. Step 4: Simplify right side
    152,676x = 112,541,462,784
  5. Step 5: Solve for x
    x = 112,541,462,784/152,676
  6. Step 6: Final answer
    x = 737,126.09

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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.