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Finding the Third Proportional to 169,462 and 334,672

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Solution

The third proportional to 169,462 and 334,672 is: 660,946.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,462 : 334,672 = 334,672 : x
  2. Step 2: Convert to fraction form
    169,462/334,672 = 334,672/x
  3. Step 3: Cross multiply
    169,462x = 334,672 × 334,672
  4. Step 4: Simplify right side
    169,462x = 112,005,347,584
  5. Step 5: Solve for x
    x = 112,005,347,584/169,462
  6. Step 6: Final answer
    x = 660,946.69

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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.