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Finding the Third Proportional to 178,800.75 and 378,924.75

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Solution

The third proportional to 178,800.75 and 378,924.75 is: 803,038.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,800.75 : 378,924.75 = 378,924.75 : x
  2. Step 2: Convert to fraction form
    178,800.75/378,924.75 = 378,924.75/x
  3. Step 3: Cross multiply
    178,800.75x = 378,924.75 × 378,924.75
  4. Step 4: Simplify right side
    178,800.75x = 143,583,966,162.56
  5. Step 5: Solve for x
    x = 143,583,966,162.56/178,800.75
  6. Step 6: Final answer
    x = 803,038.95

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.