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Finding the Third Proportional to 178,071.75 and 379,309.50

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Solution

The third proportional to 178,071.75 and 379,309.50 is: 807,964.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,071.75 : 379,309.50 = 379,309.50 : x
  2. Step 2: Convert to fraction form
    178,071.75/379,309.50 = 379,309.50/x
  3. Step 3: Cross multiply
    178,071.75x = 379,309.50 × 379,309.50
  4. Step 4: Simplify right side
    178,071.75x = 143,875,696,790.25
  5. Step 5: Solve for x
    x = 143,875,696,790.25/178,071.75
  6. Step 6: Final answer
    x = 807,964.75

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.