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Finding the Third Proportional to 135,806.63 and 319,575.38

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Solution

The third proportional to 135,806.63 and 319,575.38 is: 752,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,806.63 : 319,575.38 = 319,575.38 : x
  2. Step 2: Convert to fraction form
    135,806.63/319,575.38 = 319,575.38/x
  3. Step 3: Cross multiply
    135,806.63x = 319,575.38 × 319,575.38
  4. Step 4: Simplify right side
    135,806.63x = 102,128,420,306.39
  5. Step 5: Solve for x
    x = 102,128,420,306.39/135,806.63
  6. Step 6: Final answer
    x = 752,013.54

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.