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Finding the Third Proportional to 165,712 and 234,258

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Solution

The third proportional to 165,712 and 234,258 is: 331,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,712 : 234,258 = 234,258 : x
  2. Step 2: Convert to fraction form
    165,712/234,258 = 234,258/x
  3. Step 3: Cross multiply
    165,712x = 234,258 × 234,258
  4. Step 4: Simplify right side
    165,712x = 54,876,810,564
  5. Step 5: Solve for x
    x = 54,876,810,564/165,712
  6. Step 6: Final answer
    x = 331,157.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.