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Finding the Third Proportional to 165,641 and 258,302

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Solution

The third proportional to 165,641 and 258,302 is: 402,798.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,641 : 258,302 = 258,302 : x
  2. Step 2: Convert to fraction form
    165,641/258,302 = 258,302/x
  3. Step 3: Cross multiply
    165,641x = 258,302 × 258,302
  4. Step 4: Simplify right side
    165,641x = 66,719,923,204
  5. Step 5: Solve for x
    x = 66,719,923,204/165,641
  6. Step 6: Final answer
    x = 402,798.36

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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.