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Finding the Third Proportional to 202,216 and 440,105

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Solution

The third proportional to 202,216 and 440,105 is: 957,849.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,216 : 440,105 = 440,105 : x
  2. Step 2: Convert to fraction form
    202,216/440,105 = 440,105/x
  3. Step 3: Cross multiply
    202,216x = 440,105 × 440,105
  4. Step 4: Simplify right side
    202,216x = 193,692,411,025
  5. Step 5: Solve for x
    x = 193,692,411,025/202,216
  6. Step 6: Final answer
    x = 957,849.09

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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.