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Finding the Third Proportional to 171,720 and 375,966

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Solution

The third proportional to 171,720 and 375,966 is: 823,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,720 : 375,966 = 375,966 : x
  2. Step 2: Convert to fraction form
    171,720/375,966 = 375,966/x
  3. Step 3: Cross multiply
    171,720x = 375,966 × 375,966
  4. Step 4: Simplify right side
    171,720x = 141,350,433,156
  5. Step 5: Solve for x
    x = 141,350,433,156/171,720
  6. Step 6: Final answer
    x = 823,144.85

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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.