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Finding the Third Proportional to 212,625 and 332,788.50

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Solution

The third proportional to 212,625 and 332,788.50 is: 520,861.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,625 : 332,788.50 = 332,788.50 : x
  2. Step 2: Convert to fraction form
    212,625/332,788.50 = 332,788.50/x
  3. Step 3: Cross multiply
    212,625x = 332,788.50 × 332,788.50
  4. Step 4: Simplify right side
    212,625x = 110,748,185,732.25
  5. Step 5: Solve for x
    x = 110,748,185,732.25/212,625
  6. Step 6: Final answer
    x = 520,861.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.