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Finding the Third Proportional to 154,722 and 329,676

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Solution

The third proportional to 154,722 and 329,676 is: 702,461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,722 : 329,676 = 329,676 : x
  2. Step 2: Convert to fraction form
    154,722/329,676 = 329,676/x
  3. Step 3: Cross multiply
    154,722x = 329,676 × 329,676
  4. Step 4: Simplify right side
    154,722x = 108,686,264,976
  5. Step 5: Solve for x
    x = 108,686,264,976/154,722
  6. Step 6: Final answer
    x = 702,461.61

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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.