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Finding the Third Proportional to 171,433.13 and 371,469.38

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Solution

The third proportional to 171,433.13 and 371,469.38 is: 804,917.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,433.13 : 371,469.38 = 371,469.38 : x
  2. Step 2: Convert to fraction form
    171,433.13/371,469.38 = 371,469.38/x
  3. Step 3: Cross multiply
    171,433.13x = 371,469.38 × 371,469.38
  4. Step 4: Simplify right side
    171,433.13x = 137,989,496,562.89
  5. Step 5: Solve for x
    x = 137,989,496,562.89/171,433.13
  6. Step 6: Final answer
    x = 804,917.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.