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Finding the Third Proportional to 156,064 and 338,698

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Solution

The third proportional to 156,064 and 338,698 is: 735,059.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,064 : 338,698 = 338,698 : x
  2. Step 2: Convert to fraction form
    156,064/338,698 = 338,698/x
  3. Step 3: Cross multiply
    156,064x = 338,698 × 338,698
  4. Step 4: Simplify right side
    156,064x = 114,716,335,204
  5. Step 5: Solve for x
    x = 114,716,335,204/156,064
  6. Step 6: Final answer
    x = 735,059.56

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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.