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Finding the Third Proportional to 165,258 and 354,504

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Solution

The third proportional to 165,258 and 354,504 is: 760,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,258 : 354,504 = 354,504 : x
  2. Step 2: Convert to fraction form
    165,258/354,504 = 354,504/x
  3. Step 3: Cross multiply
    165,258x = 354,504 × 354,504
  4. Step 4: Simplify right side
    165,258x = 125,673,086,016
  5. Step 5: Solve for x
    x = 125,673,086,016/165,258
  6. Step 6: Final answer
    x = 760,465.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.