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Finding the Third Proportional to 156,069 and 341,874

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Solution

The third proportional to 156,069 and 341,874 is: 748,885.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,069 : 341,874 = 341,874 : x
  2. Step 2: Convert to fraction form
    156,069/341,874 = 341,874/x
  3. Step 3: Cross multiply
    156,069x = 341,874 × 341,874
  4. Step 4: Simplify right side
    156,069x = 116,877,831,876
  5. Step 5: Solve for x
    x = 116,877,831,876/156,069
  6. Step 6: Final answer
    x = 748,885.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.