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Finding the Third Proportional to 169,464 and 334,676

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Solution

The third proportional to 169,464 and 334,676 is: 660,954.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,464 : 334,676 = 334,676 : x
  2. Step 2: Convert to fraction form
    169,464/334,676 = 334,676/x
  3. Step 3: Cross multiply
    169,464x = 334,676 × 334,676
  4. Step 4: Simplify right side
    169,464x = 112,008,024,976
  5. Step 5: Solve for x
    x = 112,008,024,976/169,464
  6. Step 6: Final answer
    x = 660,954.69

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.