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Finding the Third Proportional to 156,635 and 341,503

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Solution

The third proportional to 156,635 and 341,503 is: 744,560.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,635 : 341,503 = 341,503 : x
  2. Step 2: Convert to fraction form
    156,635/341,503 = 341,503/x
  3. Step 3: Cross multiply
    156,635x = 341,503 × 341,503
  4. Step 4: Simplify right side
    156,635x = 116,624,299,009
  5. Step 5: Solve for x
    x = 116,624,299,009/156,635
  6. Step 6: Final answer
    x = 744,560.92

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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.