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Finding the Third Proportional to 173,022 and 375,420

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Solution

The third proportional to 173,022 and 375,420 is: 814,579.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,022 : 375,420 = 375,420 : x
  2. Step 2: Convert to fraction form
    173,022/375,420 = 375,420/x
  3. Step 3: Cross multiply
    173,022x = 375,420 × 375,420
  4. Step 4: Simplify right side
    173,022x = 140,940,176,400
  5. Step 5: Solve for x
    x = 140,940,176,400/173,022
  6. Step 6: Final answer
    x = 814,579.51

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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.