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Finding the Third Proportional to 177,768.84 and 330,318.84

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Solution

The third proportional to 177,768.84 and 330,318.84 is: 613,777.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,768.84 : 330,318.84 = 330,318.84 : x
  2. Step 2: Convert to fraction form
    177,768.84/330,318.84 = 330,318.84/x
  3. Step 3: Cross multiply
    177,768.84x = 330,318.84 × 330,318.84
  4. Step 4: Simplify right side
    177,768.84x = 109,110,538,536.34
  5. Step 5: Solve for x
    x = 109,110,538,536.34/177,768.84
  6. Step 6: Final answer
    x = 613,777.62

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.