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Finding the Third Proportional to 173,568 and 380,427

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Solution

The third proportional to 173,568 and 380,427 is: 833,821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,568 : 380,427 = 380,427 : x
  2. Step 2: Convert to fraction form
    173,568/380,427 = 380,427/x
  3. Step 3: Cross multiply
    173,568x = 380,427 × 380,427
  4. Step 4: Simplify right side
    173,568x = 144,724,702,329
  5. Step 5: Solve for x
    x = 144,724,702,329/173,568
  6. Step 6: Final answer
    x = 833,821.34

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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.