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Finding the Third Proportional to 178,825.50 and 247,911.75

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Solution

The third proportional to 178,825.50 and 247,911.75 is: 343,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,825.50 : 247,911.75 = 247,911.75 : x
  2. Step 2: Convert to fraction form
    178,825.50/247,911.75 = 247,911.75/x
  3. Step 3: Cross multiply
    178,825.50x = 247,911.75 × 247,911.75
  4. Step 4: Simplify right side
    178,825.50x = 61,460,235,788.06
  5. Step 5: Solve for x
    x = 61,460,235,788.06/178,825.50
  6. Step 6: Final answer
    x = 343,688.32

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.