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Finding the Third Proportional to 202,100.06 and 317,035.27

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Solution

The third proportional to 202,100.06 and 317,035.27 is: 497,334.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,100.06 : 317,035.27 = 317,035.27 : x
  2. Step 2: Convert to fraction form
    202,100.06/317,035.27 = 317,035.27/x
  3. Step 3: Cross multiply
    202,100.06x = 317,035.27 × 317,035.27
  4. Step 4: Simplify right side
    202,100.06x = 100,511,359,649.91
  5. Step 5: Solve for x
    x = 100,511,359,649.91/202,100.06
  6. Step 6: Final answer
    x = 497,334.63

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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.