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Finding the Third Proportional to 169,724 and 335,164

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Solution

The third proportional to 169,724 and 335,164 is: 661,868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,724 : 335,164 = 335,164 : x
  2. Step 2: Convert to fraction form
    169,724/335,164 = 335,164/x
  3. Step 3: Cross multiply
    169,724x = 335,164 × 335,164
  4. Step 4: Simplify right side
    169,724x = 112,334,906,896
  5. Step 5: Solve for x
    x = 112,334,906,896/169,724
  6. Step 6: Final answer
    x = 661,868.13

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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.