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Finding the Third Proportional to 165,418 and 201,706

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Solution

The third proportional to 165,418 and 201,706 is: 245,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,418 : 201,706 = 201,706 : x
  2. Step 2: Convert to fraction form
    165,418/201,706 = 201,706/x
  3. Step 3: Cross multiply
    165,418x = 201,706 × 201,706
  4. Step 4: Simplify right side
    165,418x = 40,685,310,436
  5. Step 5: Solve for x
    x = 40,685,310,436/165,418
  6. Step 6: Final answer
    x = 245,954.55

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.