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Finding the Third Proportional to 135,868.50 and 295,110.56

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Solution

The third proportional to 135,868.50 and 295,110.56 is: 640,989.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,868.50 : 295,110.56 = 295,110.56 : x
  2. Step 2: Convert to fraction form
    135,868.50/295,110.56 = 295,110.56/x
  3. Step 3: Cross multiply
    135,868.50x = 295,110.56 × 295,110.56
  4. Step 4: Simplify right side
    135,868.50x = 87,090,244,099.07
  5. Step 5: Solve for x
    x = 87,090,244,099.07/135,868.50
  6. Step 6: Final answer
    x = 640,989.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.