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Finding the Third Proportional to 134,609 and 202,239

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Solution

The third proportional to 134,609 and 202,239 is: 303,847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,609 : 202,239 = 202,239 : x
  2. Step 2: Convert to fraction form
    134,609/202,239 = 202,239/x
  3. Step 3: Cross multiply
    134,609x = 202,239 × 202,239
  4. Step 4: Simplify right side
    134,609x = 40,900,613,121
  5. Step 5: Solve for x
    x = 40,900,613,121/134,609
  6. Step 6: Final answer
    x = 303,847.54

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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.