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Finding the Third Proportional to 68,458 and 149,799.50

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Solution

The third proportional to 68,458 and 149,799.50 is: 327,790.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,458 : 149,799.50 = 149,799.50 : x
  2. Step 2: Convert to fraction form
    68,458/149,799.50 = 149,799.50/x
  3. Step 3: Cross multiply
    68,458x = 149,799.50 × 149,799.50
  4. Step 4: Simplify right side
    68,458x = 22,439,890,200.25
  5. Step 5: Solve for x
    x = 22,439,890,200.25/68,458
  6. Step 6: Final answer
    x = 327,790.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.