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Finding the Third Proportional to 202,195 and 440,066

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Solution

The third proportional to 202,195 and 440,066 is: 957,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,195 : 440,066 = 440,066 : x
  2. Step 2: Convert to fraction form
    202,195/440,066 = 440,066/x
  3. Step 3: Cross multiply
    202,195x = 440,066 × 440,066
  4. Step 4: Simplify right side
    202,195x = 193,658,084,356
  5. Step 5: Solve for x
    x = 193,658,084,356/202,195
  6. Step 6: Final answer
    x = 957,778.80

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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.