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Finding the Third Proportional to 135,429.75 and 288,357.75

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Solution

The third proportional to 135,429.75 and 288,357.75 is: 613,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,429.75 : 288,357.75 = 288,357.75 : x
  2. Step 2: Convert to fraction form
    135,429.75/288,357.75 = 288,357.75/x
  3. Step 3: Cross multiply
    135,429.75x = 288,357.75 × 288,357.75
  4. Step 4: Simplify right side
    135,429.75x = 83,150,191,985.06
  5. Step 5: Solve for x
    x = 83,150,191,985.06/135,429.75
  6. Step 6: Final answer
    x = 613,972.87

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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.