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Finding the Third Proportional to 156,676 and 341,723

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Solution

The third proportional to 156,676 and 341,723 is: 745,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,676 : 341,723 = 341,723 : x
  2. Step 2: Convert to fraction form
    156,676/341,723 = 341,723/x
  3. Step 3: Cross multiply
    156,676x = 341,723 × 341,723
  4. Step 4: Simplify right side
    156,676x = 116,774,608,729
  5. Step 5: Solve for x
    x = 116,774,608,729/156,676
  6. Step 6: Final answer
    x = 745,325.44

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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.