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Finding the Third Proportional to 175,352.19 and 377,745.71

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Solution

The third proportional to 175,352.19 and 377,745.71 is: 813,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,352.19 : 377,745.71 = 377,745.71 : x
  2. Step 2: Convert to fraction form
    175,352.19/377,745.71 = 377,745.71/x
  3. Step 3: Cross multiply
    175,352.19x = 377,745.71 × 377,745.71
  4. Step 4: Simplify right side
    175,352.19x = 142,691,825,082.82
  5. Step 5: Solve for x
    x = 142,691,825,082.82/175,352.19
  6. Step 6: Final answer
    x = 813,744.21

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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.