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Finding the Third Proportional to 139,366.50 and 205,768.50

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Solution

The third proportional to 139,366.50 and 205,768.50 is: 303,808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,366.50 : 205,768.50 = 205,768.50 : x
  2. Step 2: Convert to fraction form
    139,366.50/205,768.50 = 205,768.50/x
  3. Step 3: Cross multiply
    139,366.50x = 205,768.50 × 205,768.50
  4. Step 4: Simplify right side
    139,366.50x = 42,340,675,592.25
  5. Step 5: Solve for x
    x = 42,340,675,592.25/139,366.50
  6. Step 6: Final answer
    x = 303,808.13

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.