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Finding the Third Proportional to 139,333.50 and 298,356.75

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Solution

The third proportional to 139,333.50 and 298,356.75 is: 638,875.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,333.50 : 298,356.75 = 298,356.75 : x
  2. Step 2: Convert to fraction form
    139,333.50/298,356.75 = 298,356.75/x
  3. Step 3: Cross multiply
    139,333.50x = 298,356.75 × 298,356.75
  4. Step 4: Simplify right side
    139,333.50x = 89,016,750,270.56
  5. Step 5: Solve for x
    x = 89,016,750,270.56/139,333.50
  6. Step 6: Final answer
    x = 638,875.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.