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Finding the Third Proportional to 135,397.50 and 202,803

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Solution

The third proportional to 135,397.50 and 202,803 is: 303,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,397.50 : 202,803 = 202,803 : x
  2. Step 2: Convert to fraction form
    135,397.50/202,803 = 202,803/x
  3. Step 3: Cross multiply
    135,397.50x = 202,803 × 202,803
  4. Step 4: Simplify right side
    135,397.50x = 41,129,056,809
  5. Step 5: Solve for x
    x = 41,129,056,809/135,397.50
  6. Step 6: Final answer
    x = 303,765.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.