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Finding the Third Proportional to 223,824 and 337,896

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Solution

The third proportional to 223,824 and 337,896 is: 510,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,824 : 337,896 = 337,896 : x
  2. Step 2: Convert to fraction form
    223,824/337,896 = 337,896/x
  3. Step 3: Cross multiply
    223,824x = 337,896 × 337,896
  4. Step 4: Simplify right side
    223,824x = 114,173,706,816
  5. Step 5: Solve for x
    x = 114,173,706,816/223,824
  6. Step 6: Final answer
    x = 510,104.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.