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Finding the Third Proportional to 202,105 and 440,091

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Solution

The third proportional to 202,105 and 440,091 is: 958,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,105 : 440,091 = 440,091 : x
  2. Step 2: Convert to fraction form
    202,105/440,091 = 440,091/x
  3. Step 3: Cross multiply
    202,105x = 440,091 × 440,091
  4. Step 4: Simplify right side
    202,105x = 193,680,088,281
  5. Step 5: Solve for x
    x = 193,680,088,281/202,105
  6. Step 6: Final answer
    x = 958,314.18

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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.