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Finding the Third Proportional to 135,641.25 and 289,266.75

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Solution

The third proportional to 135,641.25 and 289,266.75 is: 616,886.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,641.25 : 289,266.75 = 289,266.75 : x
  2. Step 2: Convert to fraction form
    135,641.25/289,266.75 = 289,266.75/x
  3. Step 3: Cross multiply
    135,641.25x = 289,266.75 × 289,266.75
  4. Step 4: Simplify right side
    135,641.25x = 83,675,252,655.56
  5. Step 5: Solve for x
    x = 83,675,252,655.56/135,641.25
  6. Step 6: Final answer
    x = 616,886.48

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.