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Finding the Third Proportional to 135,433 and 209,996.50

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Solution

The third proportional to 135,433 and 209,996.50 is: 325,611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,433 : 209,996.50 = 209,996.50 : x
  2. Step 2: Convert to fraction form
    135,433/209,996.50 = 209,996.50/x
  3. Step 3: Cross multiply
    135,433x = 209,996.50 × 209,996.50
  4. Step 4: Simplify right side
    135,433x = 44,098,530,012.25
  5. Step 5: Solve for x
    x = 44,098,530,012.25/135,433
  6. Step 6: Final answer
    x = 325,611.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.