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Finding the Third Proportional to 139,228.88 and 217,161

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Solution

The third proportional to 139,228.88 and 217,161 is: 338,714.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,228.88 : 217,161 = 217,161 : x
  2. Step 2: Convert to fraction form
    139,228.88/217,161 = 217,161/x
  3. Step 3: Cross multiply
    139,228.88x = 217,161 × 217,161
  4. Step 4: Simplify right side
    139,228.88x = 47,158,899,921
  5. Step 5: Solve for x
    x = 47,158,899,921/139,228.88
  6. Step 6: Final answer
    x = 338,714.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.