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Finding the Third Proportional to 156,938 and 341,074

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Solution

The third proportional to 156,938 and 341,074 is: 741,257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,938 : 341,074 = 341,074 : x
  2. Step 2: Convert to fraction form
    156,938/341,074 = 341,074/x
  3. Step 3: Cross multiply
    156,938x = 341,074 × 341,074
  4. Step 4: Simplify right side
    156,938x = 116,331,473,476
  5. Step 5: Solve for x
    x = 116,331,473,476/156,938
  6. Step 6: Final answer
    x = 741,257.53

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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.