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Finding the Third Proportional to 175,655 and 377,951

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Solution

The third proportional to 175,655 and 377,951 is: 813,224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,655 : 377,951 = 377,951 : x
  2. Step 2: Convert to fraction form
    175,655/377,951 = 377,951/x
  3. Step 3: Cross multiply
    175,655x = 377,951 × 377,951
  4. Step 4: Simplify right side
    175,655x = 142,846,958,401
  5. Step 5: Solve for x
    x = 142,846,958,401/175,655
  6. Step 6: Final answer
    x = 813,224.55

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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.