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Finding the Third Proportional to 156,968 and 341,960

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Solution

The third proportional to 156,968 and 341,960 is: 744,971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,968 : 341,960 = 341,960 : x
  2. Step 2: Convert to fraction form
    156,968/341,960 = 341,960/x
  3. Step 3: Cross multiply
    156,968x = 341,960 × 341,960
  4. Step 4: Simplify right side
    156,968x = 116,936,641,600
  5. Step 5: Solve for x
    x = 116,936,641,600/156,968
  6. Step 6: Final answer
    x = 744,971.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.