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Finding the Third Proportional to 178,812 and 390,840.75

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Solution

The third proportional to 178,812 and 390,840.75 is: 854,285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,812 : 390,840.75 = 390,840.75 : x
  2. Step 2: Convert to fraction form
    178,812/390,840.75 = 390,840.75/x
  3. Step 3: Cross multiply
    178,812x = 390,840.75 × 390,840.75
  4. Step 4: Simplify right side
    178,812x = 152,756,491,860.56
  5. Step 5: Solve for x
    x = 152,756,491,860.56/178,812
  6. Step 6: Final answer
    x = 854,285.46

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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.