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Finding the Third Proportional to 178,860 and 391,344.75

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Solution

The third proportional to 178,860 and 391,344.75 is: 856,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,860 : 391,344.75 = 391,344.75 : x
  2. Step 2: Convert to fraction form
    178,860/391,344.75 = 391,344.75/x
  3. Step 3: Cross multiply
    178,860x = 391,344.75 × 391,344.75
  4. Step 4: Simplify right side
    178,860x = 153,150,713,352.56
  5. Step 5: Solve for x
    x = 153,150,713,352.56/178,860
  6. Step 6: Final answer
    x = 856,260.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.