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Finding the Third Proportional to 225,984 and 309,873

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Solution

The third proportional to 225,984 and 309,873 is: 424,902.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,984 : 309,873 = 309,873 : x
  2. Step 2: Convert to fraction form
    225,984/309,873 = 309,873/x
  3. Step 3: Cross multiply
    225,984x = 309,873 × 309,873
  4. Step 4: Simplify right side
    225,984x = 96,021,276,129
  5. Step 5: Solve for x
    x = 96,021,276,129/225,984
  6. Step 6: Final answer
    x = 424,902.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.