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Finding the Third Proportional to 205,504 and 301,144

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Solution

The third proportional to 205,504 and 301,144 is: 441,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,504 : 301,144 = 301,144 : x
  2. Step 2: Convert to fraction form
    205,504/301,144 = 301,144/x
  3. Step 3: Cross multiply
    205,504x = 301,144 × 301,144
  4. Step 4: Simplify right side
    205,504x = 90,687,708,736
  5. Step 5: Solve for x
    x = 90,687,708,736/205,504
  6. Step 6: Final answer
    x = 441,294.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.