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Finding the Third Proportional to 74,336 and 160,192

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Solution

The third proportional to 74,336 and 160,192 is: 345,209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,336 : 160,192 = 160,192 : x
  2. Step 2: Convert to fraction form
    74,336/160,192 = 160,192/x
  3. Step 3: Cross multiply
    74,336x = 160,192 × 160,192
  4. Step 4: Simplify right side
    74,336x = 25,661,476,864
  5. Step 5: Solve for x
    x = 25,661,476,864/74,336
  6. Step 6: Final answer
    x = 345,209.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.