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Finding the Third Proportional to 165,372 and 262,824

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Solution

The third proportional to 165,372 and 262,824 is: 417,703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,372 : 262,824 = 262,824 : x
  2. Step 2: Convert to fraction form
    165,372/262,824 = 262,824/x
  3. Step 3: Cross multiply
    165,372x = 262,824 × 262,824
  4. Step 4: Simplify right side
    165,372x = 69,076,454,976
  5. Step 5: Solve for x
    x = 69,076,454,976/165,372
  6. Step 6: Final answer
    x = 417,703.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.