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Finding the Third Proportional to 208,156.50 and 491,219.25

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Solution

The third proportional to 208,156.50 and 491,219.25 is: 1,159,206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,156.50 : 491,219.25 = 491,219.25 : x
  2. Step 2: Convert to fraction form
    208,156.50/491,219.25 = 491,219.25/x
  3. Step 3: Cross multiply
    208,156.50x = 491,219.25 × 491,219.25
  4. Step 4: Simplify right side
    208,156.50x = 241,296,351,570.56
  5. Step 5: Solve for x
    x = 241,296,351,570.56/208,156.50
  6. Step 6: Final answer
    x = 1,159,206.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.