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Finding the Third Proportional to 139,896 and 304,618.50

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Solution

The third proportional to 139,896 and 304,618.50 is: 663,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,896 : 304,618.50 = 304,618.50 : x
  2. Step 2: Convert to fraction form
    139,896/304,618.50 = 304,618.50/x
  3. Step 3: Cross multiply
    139,896x = 304,618.50 × 304,618.50
  4. Step 4: Simplify right side
    139,896x = 92,792,430,542.25
  5. Step 5: Solve for x
    x = 92,792,430,542.25/139,896
  6. Step 6: Final answer
    x = 663,295.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.