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Finding the Third Proportional to 76,894 and 165,284

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Solution

The third proportional to 76,894 and 165,284 is: 355,278.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,894 : 165,284 = 165,284 : x
  2. Step 2: Convert to fraction form
    76,894/165,284 = 165,284/x
  3. Step 3: Cross multiply
    76,894x = 165,284 × 165,284
  4. Step 4: Simplify right side
    76,894x = 27,318,800,656
  5. Step 5: Solve for x
    x = 27,318,800,656/76,894
  6. Step 6: Final answer
    x = 355,278.70

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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.