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Finding the Third Proportional to 202,115 and 440,111

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Solution

The third proportional to 202,115 and 440,111 is: 958,353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,115 : 440,111 = 440,111 : x
  2. Step 2: Convert to fraction form
    202,115/440,111 = 440,111/x
  3. Step 3: Cross multiply
    202,115x = 440,111 × 440,111
  4. Step 4: Simplify right side
    202,115x = 193,697,692,321
  5. Step 5: Solve for x
    x = 193,697,692,321/202,115
  6. Step 6: Final answer
    x = 958,353.87

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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.