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Finding the Third Proportional to 165,984 and 259,340

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Solution

The third proportional to 165,984 and 259,340 is: 405,203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,984 : 259,340 = 259,340 : x
  2. Step 2: Convert to fraction form
    165,984/259,340 = 259,340/x
  3. Step 3: Cross multiply
    165,984x = 259,340 × 259,340
  4. Step 4: Simplify right side
    165,984x = 67,257,235,600
  5. Step 5: Solve for x
    x = 67,257,235,600/165,984
  6. Step 6: Final answer
    x = 405,203.13

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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.