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Finding the Third Proportional to 169,824 and 237,564

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Solution

The third proportional to 169,824 and 237,564 is: 332,324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,824 : 237,564 = 237,564 : x
  2. Step 2: Convert to fraction form
    169,824/237,564 = 237,564/x
  3. Step 3: Cross multiply
    169,824x = 237,564 × 237,564
  4. Step 4: Simplify right side
    169,824x = 56,436,654,096
  5. Step 5: Solve for x
    x = 56,436,654,096/169,824
  6. Step 6: Final answer
    x = 332,324.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.