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Finding the Third Proportional to 139,648.50 and 303,597

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Solution

The third proportional to 139,648.50 and 303,597 is: 660,022.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,648.50 : 303,597 = 303,597 : x
  2. Step 2: Convert to fraction form
    139,648.50/303,597 = 303,597/x
  3. Step 3: Cross multiply
    139,648.50x = 303,597 × 303,597
  4. Step 4: Simplify right side
    139,648.50x = 92,171,138,409
  5. Step 5: Solve for x
    x = 92,171,138,409/139,648.50
  6. Step 6: Final answer
    x = 660,022.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.