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Finding the Third Proportional to 202,121 and 440,123

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Solution

The third proportional to 202,121 and 440,123 is: 958,377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,121 : 440,123 = 440,123 : x
  2. Step 2: Convert to fraction form
    202,121/440,123 = 440,123/x
  3. Step 3: Cross multiply
    202,121x = 440,123 × 440,123
  4. Step 4: Simplify right side
    202,121x = 193,708,255,129
  5. Step 5: Solve for x
    x = 193,708,255,129/202,121
  6. Step 6: Final answer
    x = 958,377.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.