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Finding the Third Proportional to 165,517 and 354,361

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Solution

The third proportional to 165,517 and 354,361 is: 758,663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,517 : 354,361 = 354,361 : x
  2. Step 2: Convert to fraction form
    165,517/354,361 = 354,361/x
  3. Step 3: Cross multiply
    165,517x = 354,361 × 354,361
  4. Step 4: Simplify right side
    165,517x = 125,571,718,321
  5. Step 5: Solve for x
    x = 125,571,718,321/165,517
  6. Step 6: Final answer
    x = 758,663.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.