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Finding the Third Proportional to 156,366 and 341,406

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Solution

The third proportional to 156,366 and 341,406 is: 745,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,366 : 341,406 = 341,406 : x
  2. Step 2: Convert to fraction form
    156,366/341,406 = 341,406/x
  3. Step 3: Cross multiply
    156,366x = 341,406 × 341,406
  4. Step 4: Simplify right side
    156,366x = 116,558,056,836
  5. Step 5: Solve for x
    x = 116,558,056,836/156,366
  6. Step 6: Final answer
    x = 745,418.17

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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.