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Finding the Third Proportional to 115,763 and 234,742

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Solution

The third proportional to 115,763 and 234,742 is: 476,005.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,763 : 234,742 = 234,742 : x
  2. Step 2: Convert to fraction form
    115,763/234,742 = 234,742/x
  3. Step 3: Cross multiply
    115,763x = 234,742 × 234,742
  4. Step 4: Simplify right side
    115,763x = 55,103,806,564
  5. Step 5: Solve for x
    x = 55,103,806,564/115,763
  6. Step 6: Final answer
    x = 476,005.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.