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Finding the Third Proportional to 177,503 and 385,625

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Solution

The third proportional to 177,503 and 385,625 is: 837,769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,503 : 385,625 = 385,625 : x
  2. Step 2: Convert to fraction form
    177,503/385,625 = 385,625/x
  3. Step 3: Cross multiply
    177,503x = 385,625 × 385,625
  4. Step 4: Simplify right side
    177,503x = 148,706,640,625
  5. Step 5: Solve for x
    x = 148,706,640,625/177,503
  6. Step 6: Final answer
    x = 837,769.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.