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Finding the Third Proportional to 165,512 and 354,352

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Solution

The third proportional to 165,512 and 354,352 is: 758,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,512 : 354,352 = 354,352 : x
  2. Step 2: Convert to fraction form
    165,512/354,352 = 354,352/x
  3. Step 3: Cross multiply
    165,512x = 354,352 × 354,352
  4. Step 4: Simplify right side
    165,512x = 125,565,339,904
  5. Step 5: Solve for x
    x = 125,565,339,904/165,512
  6. Step 6: Final answer
    x = 758,647.95

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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.