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Finding the Third Proportional to 178,286.75 and 391,564.75

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Solution

The third proportional to 178,286.75 and 391,564.75 is: 859,979.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,286.75 : 391,564.75 = 391,564.75 : x
  2. Step 2: Convert to fraction form
    178,286.75/391,564.75 = 391,564.75/x
  3. Step 3: Cross multiply
    178,286.75x = 391,564.75 × 391,564.75
  4. Step 4: Simplify right side
    178,286.75x = 153,322,953,442.56
  5. Step 5: Solve for x
    x = 153,322,953,442.56/178,286.75
  6. Step 6: Final answer
    x = 859,979.52

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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.