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Finding the Third Proportional to 212,629.50 and 332,795.25

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Solution

The third proportional to 212,629.50 and 332,795.25 is: 520,871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,629.50 : 332,795.25 = 332,795.25 : x
  2. Step 2: Convert to fraction form
    212,629.50/332,795.25 = 332,795.25/x
  3. Step 3: Cross multiply
    212,629.50x = 332,795.25 × 332,795.25
  4. Step 4: Simplify right side
    212,629.50x = 110,752,678,422.56
  5. Step 5: Solve for x
    x = 110,752,678,422.56/212,629.50
  6. Step 6: Final answer
    x = 520,871.65

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