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Finding the Third Proportional to 156,622 and 341,378

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Solution

The third proportional to 156,622 and 341,378 is: 744,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,622 : 341,378 = 341,378 : x
  2. Step 2: Convert to fraction form
    156,622/341,378 = 341,378/x
  3. Step 3: Cross multiply
    156,622x = 341,378 × 341,378
  4. Step 4: Simplify right side
    156,622x = 116,538,938,884
  5. Step 5: Solve for x
    x = 116,538,938,884/156,622
  6. Step 6: Final answer
    x = 744,077.71

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Why These Related Problems?

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