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Finding the Third Proportional to 155,952 and 337,824

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Solution

The third proportional to 155,952 and 337,824 is: 731,796.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,952 : 337,824 = 337,824 : x
  2. Step 2: Convert to fraction form
    155,952/337,824 = 337,824/x
  3. Step 3: Cross multiply
    155,952x = 337,824 × 337,824
  4. Step 4: Simplify right side
    155,952x = 114,125,054,976
  5. Step 5: Solve for x
    x = 114,125,054,976/155,952
  6. Step 6: Final answer
    x = 731,796.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.