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Finding the Third Proportional to 259,156.50 and 568,136.75

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Solution

The third proportional to 259,156.50 and 568,136.75 is: 1,245,499.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,156.50 : 568,136.75 = 568,136.75 : x
  2. Step 2: Convert to fraction form
    259,156.50/568,136.75 = 568,136.75/x
  3. Step 3: Cross multiply
    259,156.50x = 568,136.75 × 568,136.75
  4. Step 4: Simplify right side
    259,156.50x = 322,779,366,700.56
  5. Step 5: Solve for x
    x = 322,779,366,700.56/259,156.50
  6. Step 6: Final answer
    x = 1,245,499.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.