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Finding the Third Proportional to 152,740.69 and 335,617.17

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Solution

The third proportional to 152,740.69 and 335,617.17 is: 737,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,740.69 : 335,617.17 = 335,617.17 : x
  2. Step 2: Convert to fraction form
    152,740.69/335,617.17 = 335,617.17/x
  3. Step 3: Cross multiply
    152,740.69x = 335,617.17 × 335,617.17
  4. Step 4: Simplify right side
    152,740.69x = 112,638,886,057.37
  5. Step 5: Solve for x
    x = 112,638,886,057.37/152,740.69
  6. Step 6: Final answer
    x = 737,451.74

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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.