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Finding the Third Proportional to 202,108.50 and 317,049.75

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Solution

The third proportional to 202,108.50 and 317,049.75 is: 497,359.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,108.50 : 317,049.75 = 317,049.75 : x
  2. Step 2: Convert to fraction form
    202,108.50/317,049.75 = 317,049.75/x
  3. Step 3: Cross multiply
    202,108.50x = 317,049.75 × 317,049.75
  4. Step 4: Simplify right side
    202,108.50x = 100,520,543,975.06
  5. Step 5: Solve for x
    x = 100,520,543,975.06/202,108.50
  6. Step 6: Final answer
    x = 497,359.31

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.