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Finding the Third Proportional to 169,458 and 334,664

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Solution

The third proportional to 169,458 and 334,664 is: 660,930.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,458 : 334,664 = 334,664 : x
  2. Step 2: Convert to fraction form
    169,458/334,664 = 334,664/x
  3. Step 3: Cross multiply
    169,458x = 334,664 × 334,664
  4. Step 4: Simplify right side
    169,458x = 111,999,992,896
  5. Step 5: Solve for x
    x = 111,999,992,896/169,458
  6. Step 6: Final answer
    x = 660,930.69

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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.