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Finding the Third Proportional to 212,838 and 318,671.25

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Solution

The third proportional to 212,838 and 318,671.25 is: 477,129.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,838 : 318,671.25 = 318,671.25 : x
  2. Step 2: Convert to fraction form
    212,838/318,671.25 = 318,671.25/x
  3. Step 3: Cross multiply
    212,838x = 318,671.25 × 318,671.25
  4. Step 4: Simplify right side
    212,838x = 101,551,365,576.56
  5. Step 5: Solve for x
    x = 101,551,365,576.56/212,838
  6. Step 6: Final answer
    x = 477,129.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.