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Finding the Third Proportional to 179,476 and 377,543

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Solution

The third proportional to 179,476 and 377,543 is: 794,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,476 : 377,543 = 377,543 : x
  2. Step 2: Convert to fraction form
    179,476/377,543 = 377,543/x
  3. Step 3: Cross multiply
    179,476x = 377,543 × 377,543
  4. Step 4: Simplify right side
    179,476x = 142,538,716,849
  5. Step 5: Solve for x
    x = 142,538,716,849/179,476
  6. Step 6: Final answer
    x = 794,193.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.