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Finding the Third Proportional to 169,920 and 237,708

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Solution

The third proportional to 169,920 and 237,708 is: 332,539.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,920 : 237,708 = 237,708 : x
  2. Step 2: Convert to fraction form
    169,920/237,708 = 237,708/x
  3. Step 3: Cross multiply
    169,920x = 237,708 × 237,708
  4. Step 4: Simplify right side
    169,920x = 56,505,093,264
  5. Step 5: Solve for x
    x = 56,505,093,264/169,920
  6. Step 6: Final answer
    x = 332,539.39

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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.