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Finding the Third Proportional to 178,818 and 270,049.50

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Solution

The third proportional to 178,818 and 270,049.50 is: 407,826.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,818 : 270,049.50 = 270,049.50 : x
  2. Step 2: Convert to fraction form
    178,818/270,049.50 = 270,049.50/x
  3. Step 3: Cross multiply
    178,818x = 270,049.50 × 270,049.50
  4. Step 4: Simplify right side
    178,818x = 72,926,732,450.25
  5. Step 5: Solve for x
    x = 72,926,732,450.25/178,818
  6. Step 6: Final answer
    x = 407,826.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.