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Finding the Third Proportional to 165,970 and 259,324

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Solution

The third proportional to 165,970 and 259,324 is: 405,187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,970 : 259,324 = 259,324 : x
  2. Step 2: Convert to fraction form
    165,970/259,324 = 259,324/x
  3. Step 3: Cross multiply
    165,970x = 259,324 × 259,324
  4. Step 4: Simplify right side
    165,970x = 67,248,936,976
  5. Step 5: Solve for x
    x = 67,248,936,976/165,970
  6. Step 6: Final answer
    x = 405,187.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.