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Finding the Third Proportional to 202,806.38 and 318,129.75

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Solution

The third proportional to 202,806.38 and 318,129.75 is: 499,030.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,806.38 : 318,129.75 = 318,129.75 : x
  2. Step 2: Convert to fraction form
    202,806.38/318,129.75 = 318,129.75/x
  3. Step 3: Cross multiply
    202,806.38x = 318,129.75 × 318,129.75
  4. Step 4: Simplify right side
    202,806.38x = 101,206,537,835.06
  5. Step 5: Solve for x
    x = 101,206,537,835.06/202,806.38
  6. Step 6: Final answer
    x = 499,030.36

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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.