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Finding the Third Proportional to 160,763 and 343,669

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Solution

The third proportional to 160,763 and 343,669 is: 734,673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,763 : 343,669 = 343,669 : x
  2. Step 2: Convert to fraction form
    160,763/343,669 = 343,669/x
  3. Step 3: Cross multiply
    160,763x = 343,669 × 343,669
  4. Step 4: Simplify right side
    160,763x = 118,108,381,561
  5. Step 5: Solve for x
    x = 118,108,381,561/160,763
  6. Step 6: Final answer
    x = 734,673.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.