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Finding the Third Proportional to 159,813 and 342,954

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Solution

The third proportional to 159,813 and 342,954 is: 735,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,813 : 342,954 = 342,954 : x
  2. Step 2: Convert to fraction form
    159,813/342,954 = 342,954/x
  3. Step 3: Cross multiply
    159,813x = 342,954 × 342,954
  4. Step 4: Simplify right side
    159,813x = 117,617,446,116
  5. Step 5: Solve for x
    x = 117,617,446,116/159,813
  6. Step 6: Final answer
    x = 735,969.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.