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Finding the Third Proportional to 227,721 and 361,932

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Solution

The third proportional to 227,721 and 361,932 is: 575,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,721 : 361,932 = 361,932 : x
  2. Step 2: Convert to fraction form
    227,721/361,932 = 361,932/x
  3. Step 3: Cross multiply
    227,721x = 361,932 × 361,932
  4. Step 4: Simplify right side
    227,721x = 130,994,772,624
  5. Step 5: Solve for x
    x = 130,994,772,624/227,721
  6. Step 6: Final answer
    x = 575,242.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.