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Finding the Third Proportional to 212,302 and 331,372.50

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Solution

The third proportional to 212,302 and 331,372.50 is: 517,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,302 : 331,372.50 = 331,372.50 : x
  2. Step 2: Convert to fraction form
    212,302/331,372.50 = 331,372.50/x
  3. Step 3: Cross multiply
    212,302x = 331,372.50 × 331,372.50
  4. Step 4: Simplify right side
    212,302x = 109,807,733,756.25
  5. Step 5: Solve for x
    x = 109,807,733,756.25/212,302
  6. Step 6: Final answer
    x = 517,224.21

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.