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Finding the Third Proportional to 202,103 and 440,087

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Solution

The third proportional to 202,103 and 440,087 is: 958,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,103 : 440,087 = 440,087 : x
  2. Step 2: Convert to fraction form
    202,103/440,087 = 440,087/x
  3. Step 3: Cross multiply
    202,103x = 440,087 × 440,087
  4. Step 4: Simplify right side
    202,103x = 193,676,567,569
  5. Step 5: Solve for x
    x = 193,676,567,569/202,103
  6. Step 6: Final answer
    x = 958,306.25

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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.