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Finding the Third Proportional to 169,784 and 350,328

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Solution

The third proportional to 169,784 and 350,328 is: 722,857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,784 : 350,328 = 350,328 : x
  2. Step 2: Convert to fraction form
    169,784/350,328 = 350,328/x
  3. Step 3: Cross multiply
    169,784x = 350,328 × 350,328
  4. Step 4: Simplify right side
    169,784x = 122,729,707,584
  5. Step 5: Solve for x
    x = 122,729,707,584/169,784
  6. Step 6: Final answer
    x = 722,857.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.