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Finding the Third Proportional to 169,473 and 334,662

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Solution

The third proportional to 169,473 and 334,662 is: 660,864.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,473 : 334,662 = 334,662 : x
  2. Step 2: Convert to fraction form
    169,473/334,662 = 334,662/x
  3. Step 3: Cross multiply
    169,473x = 334,662 × 334,662
  4. Step 4: Simplify right side
    169,473x = 111,998,654,244
  5. Step 5: Solve for x
    x = 111,998,654,244/169,473
  6. Step 6: Final answer
    x = 660,864.29

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