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Finding the Third Proportional to 159,114 and 343,932

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Solution

The third proportional to 159,114 and 343,932 is: 743,424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,114 : 343,932 = 343,932 : x
  2. Step 2: Convert to fraction form
    159,114/343,932 = 343,932/x
  3. Step 3: Cross multiply
    159,114x = 343,932 × 343,932
  4. Step 4: Simplify right side
    159,114x = 118,289,220,624
  5. Step 5: Solve for x
    x = 118,289,220,624/159,114
  6. Step 6: Final answer
    x = 743,424.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.