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Finding the Third Proportional to 160,503 and 341,742

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Solution

The third proportional to 160,503 and 341,742 is: 727,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,503 : 341,742 = 341,742 : x
  2. Step 2: Convert to fraction form
    160,503/341,742 = 341,742/x
  3. Step 3: Cross multiply
    160,503x = 341,742 × 341,742
  4. Step 4: Simplify right side
    160,503x = 116,787,594,564
  5. Step 5: Solve for x
    x = 116,787,594,564/160,503
  6. Step 6: Final answer
    x = 727,634.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.