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Finding the Third Proportional to 173,082 and 372,018

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Solution

The third proportional to 173,082 and 372,018 is: 799,605.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,082 : 372,018 = 372,018 : x
  2. Step 2: Convert to fraction form
    173,082/372,018 = 372,018/x
  3. Step 3: Cross multiply
    173,082x = 372,018 × 372,018
  4. Step 4: Simplify right side
    173,082x = 138,397,392,324
  5. Step 5: Solve for x
    x = 138,397,392,324/173,082
  6. Step 6: Final answer
    x = 799,605.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.