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Finding the Third Proportional to 177,798.38 and 385,728.75

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Solution

The third proportional to 177,798.38 and 385,728.75 is: 836,828.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,798.38 : 385,728.75 = 385,728.75 : x
  2. Step 2: Convert to fraction form
    177,798.38/385,728.75 = 385,728.75/x
  3. Step 3: Cross multiply
    177,798.38x = 385,728.75 × 385,728.75
  4. Step 4: Simplify right side
    177,798.38x = 148,786,668,576.56
  5. Step 5: Solve for x
    x = 148,786,668,576.56/177,798.38
  6. Step 6: Final answer
    x = 836,828.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.