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Finding the Third Proportional to 168,813 and 368,993.25

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Solution

The third proportional to 168,813 and 368,993.25 is: 806,549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,813 : 368,993.25 = 368,993.25 : x
  2. Step 2: Convert to fraction form
    168,813/368,993.25 = 368,993.25/x
  3. Step 3: Cross multiply
    168,813x = 368,993.25 × 368,993.25
  4. Step 4: Simplify right side
    168,813x = 136,156,018,545.56
  5. Step 5: Solve for x
    x = 136,156,018,545.56/168,813
  6. Step 6: Final answer
    x = 806,549.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.