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Finding the Third Proportional to 156,629 and 341,491

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Solution

The third proportional to 156,629 and 341,491 is: 744,537.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,629 : 341,491 = 341,491 : x
  2. Step 2: Convert to fraction form
    156,629/341,491 = 341,491/x
  3. Step 3: Cross multiply
    156,629x = 341,491 × 341,491
  4. Step 4: Simplify right side
    156,629x = 116,616,103,081
  5. Step 5: Solve for x
    x = 116,616,103,081/156,629
  6. Step 6: Final answer
    x = 744,537.11

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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.