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Finding the Third Proportional to 156,354 and 341,383

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Solution

The third proportional to 156,354 and 341,383 is: 745,374.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,354 : 341,383 = 341,383 : x
  2. Step 2: Convert to fraction form
    156,354/341,383 = 341,383/x
  3. Step 3: Cross multiply
    156,354x = 341,383 × 341,383
  4. Step 4: Simplify right side
    156,354x = 116,542,352,689
  5. Step 5: Solve for x
    x = 116,542,352,689/156,354
  6. Step 6: Final answer
    x = 745,374.94

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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.