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Finding the Third Proportional to 164,079 and 339,545.25

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Solution

The third proportional to 164,079 and 339,545.25 is: 702,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,079 : 339,545.25 = 339,545.25 : x
  2. Step 2: Convert to fraction form
    164,079/339,545.25 = 339,545.25/x
  3. Step 3: Cross multiply
    164,079x = 339,545.25 × 339,545.25
  4. Step 4: Simplify right side
    164,079x = 115,290,976,797.56
  5. Step 5: Solve for x
    x = 115,290,976,797.56/164,079
  6. Step 6: Final answer
    x = 702,655.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.