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Finding the Third Proportional to 159,016.50 and 336,622.50

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Solution

The third proportional to 159,016.50 and 336,622.50 is: 712,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,016.50 : 336,622.50 = 336,622.50 : x
  2. Step 2: Convert to fraction form
    159,016.50/336,622.50 = 336,622.50/x
  3. Step 3: Cross multiply
    159,016.50x = 336,622.50 × 336,622.50
  4. Step 4: Simplify right side
    159,016.50x = 113,314,707,506.25
  5. Step 5: Solve for x
    x = 113,314,707,506.25/159,016.50
  6. Step 6: Final answer
    x = 712,597.17

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.