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Finding the Third Proportional to 133,037 and 210,635

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Solution

The third proportional to 133,037 and 210,635 is: 333,494.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,037 : 210,635 = 210,635 : x
  2. Step 2: Convert to fraction form
    133,037/210,635 = 210,635/x
  3. Step 3: Cross multiply
    133,037x = 210,635 × 210,635
  4. Step 4: Simplify right side
    133,037x = 44,367,103,225
  5. Step 5: Solve for x
    x = 44,367,103,225/133,037
  6. Step 6: Final answer
    x = 333,494.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.