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Finding the Third Proportional to 156,796 and 340,970

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Solution

The third proportional to 156,796 and 340,970 is: 741,476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,796 : 340,970 = 340,970 : x
  2. Step 2: Convert to fraction form
    156,796/340,970 = 340,970/x
  3. Step 3: Cross multiply
    156,796x = 340,970 × 340,970
  4. Step 4: Simplify right side
    156,796x = 116,260,540,900
  5. Step 5: Solve for x
    x = 116,260,540,900/156,796
  6. Step 6: Final answer
    x = 741,476.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.