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Finding the Third Proportional to 220,758 and 341,742

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Solution

The third proportional to 220,758 and 341,742 is: 529,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,758 : 341,742 = 341,742 : x
  2. Step 2: Convert to fraction form
    220,758/341,742 = 341,742/x
  3. Step 3: Cross multiply
    220,758x = 341,742 × 341,742
  4. Step 4: Simplify right side
    220,758x = 116,787,594,564
  5. Step 5: Solve for x
    x = 116,787,594,564/220,758
  6. Step 6: Final answer
    x = 529,029.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.