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Finding the Third Proportional to 169,586 and 334,904

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Solution

The third proportional to 169,586 and 334,904 is: 661,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,586 : 334,904 = 334,904 : x
  2. Step 2: Convert to fraction form
    169,586/334,904 = 334,904/x
  3. Step 3: Cross multiply
    169,586x = 334,904 × 334,904
  4. Step 4: Simplify right side
    169,586x = 112,160,689,216
  5. Step 5: Solve for x
    x = 112,160,689,216/169,586
  6. Step 6: Final answer
    x = 661,379.41

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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.