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Finding the Third Proportional to 212,611.50 and 326,237.63

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Solution

The third proportional to 212,611.50 and 326,237.63 is: 500,589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,611.50 : 326,237.63 = 326,237.63 : x
  2. Step 2: Convert to fraction form
    212,611.50/326,237.63 = 326,237.63/x
  3. Step 3: Cross multiply
    212,611.50x = 326,237.63 × 326,237.63
  4. Step 4: Simplify right side
    212,611.50x = 106,430,987,965.64
  5. Step 5: Solve for x
    x = 106,430,987,965.64/212,611.50
  6. Step 6: Final answer
    x = 500,589.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.