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Finding the Third Proportional to 212,866 and 329,625

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Solution

The third proportional to 212,866 and 329,625 is: 510,427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,866 : 329,625 = 329,625 : x
  2. Step 2: Convert to fraction form
    212,866/329,625 = 329,625/x
  3. Step 3: Cross multiply
    212,866x = 329,625 × 329,625
  4. Step 4: Simplify right side
    212,866x = 108,652,640,625
  5. Step 5: Solve for x
    x = 108,652,640,625/212,866
  6. Step 6: Final answer
    x = 510,427.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.