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Finding the Third Proportional to 156,738 and 337,043

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Solution

The third proportional to 156,738 and 337,043 is: 724,763.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,738 : 337,043 = 337,043 : x
  2. Step 2: Convert to fraction form
    156,738/337,043 = 337,043/x
  3. Step 3: Cross multiply
    156,738x = 337,043 × 337,043
  4. Step 4: Simplify right side
    156,738x = 113,597,983,849
  5. Step 5: Solve for x
    x = 113,597,983,849/156,738
  6. Step 6: Final answer
    x = 724,763.52

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