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Finding the Third Proportional to 178,962 and 390,078

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Solution

The third proportional to 178,962 and 390,078 is: 850,241.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,962 : 390,078 = 390,078 : x
  2. Step 2: Convert to fraction form
    178,962/390,078 = 390,078/x
  3. Step 3: Cross multiply
    178,962x = 390,078 × 390,078
  4. Step 4: Simplify right side
    178,962x = 152,160,846,084
  5. Step 5: Solve for x
    x = 152,160,846,084/178,962
  6. Step 6: Final answer
    x = 850,241.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.