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Finding the Third Proportional to 202,100.50 and 317,036

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Solution

The third proportional to 202,100.50 and 317,036 is: 497,335.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,100.50 : 317,036 = 317,036 : x
  2. Step 2: Convert to fraction form
    202,100.50/317,036 = 317,036/x
  3. Step 3: Cross multiply
    202,100.50x = 317,036 × 317,036
  4. Step 4: Simplify right side
    202,100.50x = 100,511,825,296
  5. Step 5: Solve for x
    x = 100,511,825,296/202,100.50
  6. Step 6: Final answer
    x = 497,335.86

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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.