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Finding the Third Proportional to 156,076 and 335,824

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Solution

The third proportional to 156,076 and 335,824 is: 722,582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,076 : 335,824 = 335,824 : x
  2. Step 2: Convert to fraction form
    156,076/335,824 = 335,824/x
  3. Step 3: Cross multiply
    156,076x = 335,824 × 335,824
  4. Step 4: Simplify right side
    156,076x = 112,777,758,976
  5. Step 5: Solve for x
    x = 112,777,758,976/156,076
  6. Step 6: Final answer
    x = 722,582.33

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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.