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Finding the Third Proportional to 135,286.45 and 210,293.72

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Solution

The third proportional to 135,286.45 and 210,293.72 is: 326,887.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,286.45 : 210,293.72 = 210,293.72 : x
  2. Step 2: Convert to fraction form
    135,286.45/210,293.72 = 210,293.72/x
  3. Step 3: Cross multiply
    135,286.45x = 210,293.72 × 210,293.72
  4. Step 4: Simplify right side
    135,286.45x = 44,223,448,145.70
  5. Step 5: Solve for x
    x = 44,223,448,145.70/135,286.45
  6. Step 6: Final answer
    x = 326,887.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.