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Finding the Third Proportional to 177,891.75 and 382,983.75

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Solution

The third proportional to 177,891.75 and 382,983.75 is: 824,527.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,891.75 : 382,983.75 = 382,983.75 : x
  2. Step 2: Convert to fraction form
    177,891.75/382,983.75 = 382,983.75/x
  3. Step 3: Cross multiply
    177,891.75x = 382,983.75 × 382,983.75
  4. Step 4: Simplify right side
    177,891.75x = 146,676,552,764.06
  5. Step 5: Solve for x
    x = 146,676,552,764.06/177,891.75
  6. Step 6: Final answer
    x = 824,527.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.