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Finding the Third Proportional to 156,351 and 341,377

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Solution

The third proportional to 156,351 and 341,377 is: 745,363.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,351 : 341,377 = 341,377 : x
  2. Step 2: Convert to fraction form
    156,351/341,377 = 341,377/x
  3. Step 3: Cross multiply
    156,351x = 341,377 × 341,377
  4. Step 4: Simplify right side
    156,351x = 116,538,256,129
  5. Step 5: Solve for x
    x = 116,538,256,129/156,351
  6. Step 6: Final answer
    x = 745,363.04

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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.