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Finding the Third Proportional to 225,850 and 301,098

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Solution

The third proportional to 225,850 and 301,098 is: 401,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,850 : 301,098 = 301,098 : x
  2. Step 2: Convert to fraction form
    225,850/301,098 = 301,098/x
  3. Step 3: Cross multiply
    225,850x = 301,098 × 301,098
  4. Step 4: Simplify right side
    225,850x = 90,660,005,604
  5. Step 5: Solve for x
    x = 90,660,005,604/225,850
  6. Step 6: Final answer
    x = 401,416.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.